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Finding the Third Proportional to 388,789.88 and 852,312.75

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Solution

The third proportional to 388,789.88 and 852,312.75 is: 1,868,456.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,789.88 : 852,312.75 = 852,312.75 : x
  2. Step 2: Convert to fraction form
    388,789.88/852,312.75 = 852,312.75/x
  3. Step 3: Cross multiply
    388,789.88x = 852,312.75 × 852,312.75
  4. Step 4: Simplify right side
    388,789.88x = 726,437,023,812.56
  5. Step 5: Solve for x
    x = 726,437,023,812.56/388,789.88
  6. Step 6: Final answer
    x = 1,868,456.64

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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.