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Finding the Third Proportional to 216,003.38 and 471,312

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Solution

The third proportional to 216,003.38 and 471,312 is: 1,028,386.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,003.38 : 471,312 = 471,312 : x
  2. Step 2: Convert to fraction form
    216,003.38/471,312 = 471,312/x
  3. Step 3: Cross multiply
    216,003.38x = 471,312 × 471,312
  4. Step 4: Simplify right side
    216,003.38x = 222,135,001,344
  5. Step 5: Solve for x
    x = 222,135,001,344/216,003.38
  6. Step 6: Final answer
    x = 1,028,386.72

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.