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Finding the Third Proportional to 124,496 and 287,912

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Solution

The third proportional to 124,496 and 287,912 is: 665,831.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,496 : 287,912 = 287,912 : x
  2. Step 2: Convert to fraction form
    124,496/287,912 = 287,912/x
  3. Step 3: Cross multiply
    124,496x = 287,912 × 287,912
  4. Step 4: Simplify right side
    124,496x = 82,893,319,744
  5. Step 5: Solve for x
    x = 82,893,319,744/124,496
  6. Step 6: Final answer
    x = 665,831.19

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.