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Finding the Third Proportional to 392,915.81 and 813,974.06

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Solution

The third proportional to 392,915.81 and 813,974.06 is: 1,686,248.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,915.81 : 813,974.06 = 813,974.06 : x
  2. Step 2: Convert to fraction form
    392,915.81/813,974.06 = 813,974.06/x
  3. Step 3: Cross multiply
    392,915.81x = 813,974.06 × 813,974.06
  4. Step 4: Simplify right side
    392,915.81x = 662,553,774,422.75
  5. Step 5: Solve for x
    x = 662,553,774,422.75/392,915.81
  6. Step 6: Final answer
    x = 1,686,248.69

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.