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Finding the Third Proportional to 242,358 and 515,820

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Solution

The third proportional to 242,358 and 515,820 is: 1,097,839.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,358 : 515,820 = 515,820 : x
  2. Step 2: Convert to fraction form
    242,358/515,820 = 515,820/x
  3. Step 3: Cross multiply
    242,358x = 515,820 × 515,820
  4. Step 4: Simplify right side
    242,358x = 266,070,272,400
  5. Step 5: Solve for x
    x = 266,070,272,400/242,358
  6. Step 6: Final answer
    x = 1,097,839.86

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.