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Finding the Third Proportional to 402,350 and 607,625

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Solution

The third proportional to 402,350 and 607,625 is: 917,629.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,350 : 607,625 = 607,625 : x
  2. Step 2: Convert to fraction form
    402,350/607,625 = 607,625/x
  3. Step 3: Cross multiply
    402,350x = 607,625 × 607,625
  4. Step 4: Simplify right side
    402,350x = 369,208,140,625
  5. Step 5: Solve for x
    x = 369,208,140,625/402,350
  6. Step 6: Final answer
    x = 917,629.28

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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.