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Finding the Third Proportional to 407,943 and 573,458

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Solution

The third proportional to 407,943 and 573,458 is: 806,127.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,943 : 573,458 = 573,458 : x
  2. Step 2: Convert to fraction form
    407,943/573,458 = 573,458/x
  3. Step 3: Cross multiply
    407,943x = 573,458 × 573,458
  4. Step 4: Simplify right side
    407,943x = 328,854,077,764
  5. Step 5: Solve for x
    x = 328,854,077,764/407,943
  6. Step 6: Final answer
    x = 806,127.52

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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.