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Finding the Third Proportional to 253,471 and 553,687

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Solution

The third proportional to 253,471 and 553,687 is: 1,209,484.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,471 : 553,687 = 553,687 : x
  2. Step 2: Convert to fraction form
    253,471/553,687 = 553,687/x
  3. Step 3: Cross multiply
    253,471x = 553,687 × 553,687
  4. Step 4: Simplify right side
    253,471x = 306,569,293,969
  5. Step 5: Solve for x
    x = 306,569,293,969/253,471
  6. Step 6: Final answer
    x = 1,209,484.69

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.