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Finding the Third Proportional to 71,810 and 112,943

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Solution

The third proportional to 71,810 and 112,943 is: 177,637.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,810 : 112,943 = 112,943 : x
  2. Step 2: Convert to fraction form
    71,810/112,943 = 112,943/x
  3. Step 3: Cross multiply
    71,810x = 112,943 × 112,943
  4. Step 4: Simplify right side
    71,810x = 12,756,121,249
  5. Step 5: Solve for x
    x = 12,756,121,249/71,810
  6. Step 6: Final answer
    x = 177,637.12

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.