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Finding the Third Proportional to 407,942 and 573,457

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Solution

The third proportional to 407,942 and 573,457 is: 806,126.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,942 : 573,457 = 573,457 : x
  2. Step 2: Convert to fraction form
    407,942/573,457 = 573,457/x
  3. Step 3: Cross multiply
    407,942x = 573,457 × 573,457
  4. Step 4: Simplify right side
    407,942x = 328,852,930,849
  5. Step 5: Solve for x
    x = 328,852,930,849/407,942
  6. Step 6: Final answer
    x = 806,126.68

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.