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Finding the Third Proportional to 423,295.88 and 655,705.13

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Solution

The third proportional to 423,295.88 and 655,705.13 is: 1,015,717.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,295.88 : 655,705.13 = 655,705.13 : x
  2. Step 2: Convert to fraction form
    423,295.88/655,705.13 = 655,705.13/x
  3. Step 3: Cross multiply
    423,295.88x = 655,705.13 × 655,705.13
  4. Step 4: Simplify right side
    423,295.88x = 429,949,210,951.27
  5. Step 5: Solve for x
    x = 429,949,210,951.27/423,295.88
  6. Step 6: Final answer
    x = 1,015,717.93

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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.