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Finding the Third Proportional to 261,624 and 402,642

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Solution

The third proportional to 261,624 and 402,642 is: 619,670.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,624 : 402,642 = 402,642 : x
  2. Step 2: Convert to fraction form
    261,624/402,642 = 402,642/x
  3. Step 3: Cross multiply
    261,624x = 402,642 × 402,642
  4. Step 4: Simplify right side
    261,624x = 162,120,580,164
  5. Step 5: Solve for x
    x = 162,120,580,164/261,624
  6. Step 6: Final answer
    x = 619,670.14

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.