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Finding the Third Proportional to 257,259 and 551,436

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Solution

The third proportional to 257,259 and 551,436 is: 1,182,005.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,259 : 551,436 = 551,436 : x
  2. Step 2: Convert to fraction form
    257,259/551,436 = 551,436/x
  3. Step 3: Cross multiply
    257,259x = 551,436 × 551,436
  4. Step 4: Simplify right side
    257,259x = 304,081,662,096
  5. Step 5: Solve for x
    x = 304,081,662,096/257,259
  6. Step 6: Final answer
    x = 1,182,005.92

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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.