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Finding the Third Proportional to 40,712 and 58,111

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Solution

The third proportional to 40,712 and 58,111 is: 82,945.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,712 : 58,111 = 58,111 : x
  2. Step 2: Convert to fraction form
    40,712/58,111 = 58,111/x
  3. Step 3: Cross multiply
    40,712x = 58,111 × 58,111
  4. Step 4: Simplify right side
    40,712x = 3,376,888,321
  5. Step 5: Solve for x
    x = 3,376,888,321/40,712
  6. Step 6: Final answer
    x = 82,945.77

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.