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Finding the Third Proportional to 219,740,278,768 and 471,274,783,540

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Solution

The third proportional to 219,740,278,768 and 471,274,783,540 is: 1,010,738,326,381.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,740,278,768 : 471,274,783,540 = 471,274,783,540 : x
  2. Step 2: Convert to fraction form
    219,740,278,768/471,274,783,540 = 471,274,783,540/x
  3. Step 3: Cross multiply
    219,740,278,768x = 471,274,783,540 × 471,274,783,540
  4. Step 4: Simplify right side
    219,740,278,768x = 222,099,921,600,673,849,802,752
  5. Step 5: Solve for x
    x = 222,099,921,600,673,849,802,752/219,740,278,768
  6. Step 6: Final answer
    x = 1,010,738,326,381.96

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.