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Finding the Third Proportional to 143,278,414 and 306,990,311

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Solution

The third proportional to 143,278,414 and 306,990,311 is: 657,761,685.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,278,414 : 306,990,311 = 306,990,311 : x
  2. Step 2: Convert to fraction form
    143,278,414/306,990,311 = 306,990,311/x
  3. Step 3: Cross multiply
    143,278,414x = 306,990,311 × 306,990,311
  4. Step 4: Simplify right side
    143,278,414x = 94,243,051,047,876,720
  5. Step 5: Solve for x
    x = 94,243,051,047,876,720/143,278,414
  6. Step 6: Final answer
    x = 657,761,685.22

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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.