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Finding the Third Proportional to 389,610 and 584,425.13

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Solution

The third proportional to 389,610 and 584,425.13 is: 876,652.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,610 : 584,425.13 = 584,425.13 : x
  2. Step 2: Convert to fraction form
    389,610/584,425.13 = 584,425.13/x
  3. Step 3: Cross multiply
    389,610x = 584,425.13 × 584,425.13
  4. Step 4: Simplify right side
    389,610x = 341,552,726,731.27
  5. Step 5: Solve for x
    x = 341,552,726,731.27/389,610
  6. Step 6: Final answer
    x = 876,652.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.