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Finding the Third Proportional to 85,072 and 124,972

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Solution

The third proportional to 85,072 and 124,972 is: 183,585.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,072 : 124,972 = 124,972 : x
  2. Step 2: Convert to fraction form
    85,072/124,972 = 124,972/x
  3. Step 3: Cross multiply
    85,072x = 124,972 × 124,972
  4. Step 4: Simplify right side
    85,072x = 15,618,000,784
  5. Step 5: Solve for x
    x = 15,618,000,784/85,072
  6. Step 6: Final answer
    x = 183,585.68

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.