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Finding the Third Proportional to 242,360 and 517,711

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Solution

The third proportional to 242,360 and 517,711 is: 1,105,894.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,360 : 517,711 = 517,711 : x
  2. Step 2: Convert to fraction form
    242,360/517,711 = 517,711/x
  3. Step 3: Cross multiply
    242,360x = 517,711 × 517,711
  4. Step 4: Simplify right side
    242,360x = 268,024,679,521
  5. Step 5: Solve for x
    x = 268,024,679,521/242,360
  6. Step 6: Final answer
    x = 1,105,894.87

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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.