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Finding the Third Proportional to 356,825 and 553,359

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Solution

The third proportional to 356,825 and 553,359 is: 858,141.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,825 : 553,359 = 553,359 : x
  2. Step 2: Convert to fraction form
    356,825/553,359 = 553,359/x
  3. Step 3: Cross multiply
    356,825x = 553,359 × 553,359
  4. Step 4: Simplify right side
    356,825x = 306,206,182,881
  5. Step 5: Solve for x
    x = 306,206,182,881/356,825
  6. Step 6: Final answer
    x = 858,141.06

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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.