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Finding the Third Proportional to 384,972.75 and 518,410.13

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Solution

The third proportional to 384,972.75 and 518,410.13 is: 698,098.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,972.75 : 518,410.13 = 518,410.13 : x
  2. Step 2: Convert to fraction form
    384,972.75/518,410.13 = 518,410.13/x
  3. Step 3: Cross multiply
    384,972.75x = 518,410.13 × 518,410.13
  4. Step 4: Simplify right side
    384,972.75x = 268,749,057,702.52
  5. Step 5: Solve for x
    x = 268,749,057,702.52/384,972.75
  6. Step 6: Final answer
    x = 698,098.91

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.