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Finding the Third Proportional to 370,663 and 813,496

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Solution

The third proportional to 370,663 and 813,496 is: 1,785,383.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,663 : 813,496 = 813,496 : x
  2. Step 2: Convert to fraction form
    370,663/813,496 = 813,496/x
  3. Step 3: Cross multiply
    370,663x = 813,496 × 813,496
  4. Step 4: Simplify right side
    370,663x = 661,775,742,016
  5. Step 5: Solve for x
    x = 661,775,742,016/370,663
  6. Step 6: Final answer
    x = 1,785,383.87

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.