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Finding the Third Proportional to 253,156 and 392,497

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Solution

The third proportional to 253,156 and 392,497 is: 608,533.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,156 : 392,497 = 392,497 : x
  2. Step 2: Convert to fraction form
    253,156/392,497 = 392,497/x
  3. Step 3: Cross multiply
    253,156x = 392,497 × 392,497
  4. Step 4: Simplify right side
    253,156x = 154,053,895,009
  5. Step 5: Solve for x
    x = 154,053,895,009/253,156
  6. Step 6: Final answer
    x = 608,533.45

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.