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Finding the Third Proportional to 187,692 and 390,864

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Solution

The third proportional to 187,692 and 390,864 is: 813,964.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,692 : 390,864 = 390,864 : x
  2. Step 2: Convert to fraction form
    187,692/390,864 = 390,864/x
  3. Step 3: Cross multiply
    187,692x = 390,864 × 390,864
  4. Step 4: Simplify right side
    187,692x = 152,774,666,496
  5. Step 5: Solve for x
    x = 152,774,666,496/187,692
  6. Step 6: Final answer
    x = 813,964.72

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.