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Finding the Third Proportional to 81,748 and 124,998

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Solution

The third proportional to 81,748 and 124,998 is: 191,130.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,748 : 124,998 = 124,998 : x
  2. Step 2: Convert to fraction form
    81,748/124,998 = 124,998/x
  3. Step 3: Cross multiply
    81,748x = 124,998 × 124,998
  4. Step 4: Simplify right side
    81,748x = 15,624,500,004
  5. Step 5: Solve for x
    x = 15,624,500,004/81,748
  6. Step 6: Final answer
    x = 191,130.06

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.