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Finding the Third Proportional to 402,305 and 607,557

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Solution

The third proportional to 402,305 and 607,557 is: 917,526.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,305 : 607,557 = 607,557 : x
  2. Step 2: Convert to fraction form
    402,305/607,557 = 607,557/x
  3. Step 3: Cross multiply
    402,305x = 607,557 × 607,557
  4. Step 4: Simplify right side
    402,305x = 369,125,508,249
  5. Step 5: Solve for x
    x = 369,125,508,249/402,305
  6. Step 6: Final answer
    x = 917,526.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.