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Finding the Third Proportional to 61,565 and 131,878

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Solution

The third proportional to 61,565 and 131,878 is: 282,495.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,565 : 131,878 = 131,878 : x
  2. Step 2: Convert to fraction form
    61,565/131,878 = 131,878/x
  3. Step 3: Cross multiply
    61,565x = 131,878 × 131,878
  4. Step 4: Simplify right side
    61,565x = 17,391,806,884
  5. Step 5: Solve for x
    x = 17,391,806,884/61,565
  6. Step 6: Final answer
    x = 282,495.04

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.