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Finding the Third Proportional to 254,331 and 402,642

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Solution

The third proportional to 254,331 and 402,642 is: 637,439.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,331 : 402,642 = 402,642 : x
  2. Step 2: Convert to fraction form
    254,331/402,642 = 402,642/x
  3. Step 3: Cross multiply
    254,331x = 402,642 × 402,642
  4. Step 4: Simplify right side
    254,331x = 162,120,580,164
  5. Step 5: Solve for x
    x = 162,120,580,164/254,331
  6. Step 6: Final answer
    x = 637,439.32

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.