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Finding the Third Proportional to 61,672 and 127,720

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Solution

The third proportional to 61,672 and 127,720 is: 264,502.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,672 : 127,720 = 127,720 : x
  2. Step 2: Convert to fraction form
    61,672/127,720 = 127,720/x
  3. Step 3: Cross multiply
    61,672x = 127,720 × 127,720
  4. Step 4: Simplify right side
    61,672x = 16,312,398,400
  5. Step 5: Solve for x
    x = 16,312,398,400/61,672
  6. Step 6: Final answer
    x = 264,502.50

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.