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Finding the Third Proportional to 168,332 and 258,720

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Solution

The third proportional to 168,332 and 258,720 is: 397,642.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,332 : 258,720 = 258,720 : x
  2. Step 2: Convert to fraction form
    168,332/258,720 = 258,720/x
  3. Step 3: Cross multiply
    168,332x = 258,720 × 258,720
  4. Step 4: Simplify right side
    168,332x = 66,936,038,400
  5. Step 5: Solve for x
    x = 66,936,038,400/168,332
  6. Step 6: Final answer
    x = 397,642.98

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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.