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Finding the Third Proportional to 40,712 and 63,813

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Solution

The third proportional to 40,712 and 63,813 is: 100,022.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,712 : 63,813 = 63,813 : x
  2. Step 2: Convert to fraction form
    40,712/63,813 = 63,813/x
  3. Step 3: Cross multiply
    40,712x = 63,813 × 63,813
  4. Step 4: Simplify right side
    40,712x = 4,072,098,969
  5. Step 5: Solve for x
    x = 4,072,098,969/40,712
  6. Step 6: Final answer
    x = 100,022.08

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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.