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Finding the Third Proportional to 257,242 and 551,402

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Solution

The third proportional to 257,242 and 551,402 is: 1,181,938.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,242 : 551,402 = 551,402 : x
  2. Step 2: Convert to fraction form
    257,242/551,402 = 551,402/x
  3. Step 3: Cross multiply
    257,242x = 551,402 × 551,402
  4. Step 4: Simplify right side
    257,242x = 304,044,165,604
  5. Step 5: Solve for x
    x = 304,044,165,604/257,242
  6. Step 6: Final answer
    x = 1,181,938.27

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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.