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Finding the Third Proportional to 242,432 and 518,560

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Solution

The third proportional to 242,432 and 518,560 is: 1,109,195.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,432 : 518,560 = 518,560 : x
  2. Step 2: Convert to fraction form
    242,432/518,560 = 518,560/x
  3. Step 3: Cross multiply
    242,432x = 518,560 × 518,560
  4. Step 4: Simplify right side
    242,432x = 268,904,473,600
  5. Step 5: Solve for x
    x = 268,904,473,600/242,432
  6. Step 6: Final answer
    x = 1,109,195.46

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.