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Finding the Third Proportional to 389,536.59 and 586,867.78

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Solution

The third proportional to 389,536.59 and 586,867.78 is: 884,162.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,536.59 : 586,867.78 = 586,867.78 : x
  2. Step 2: Convert to fraction form
    389,536.59/586,867.78 = 586,867.78/x
  3. Step 3: Cross multiply
    389,536.59x = 586,867.78 × 586,867.78
  4. Step 4: Simplify right side
    389,536.59x = 344,413,792,669.30
  5. Step 5: Solve for x
    x = 344,413,792,669.30/389,536.59
  6. Step 6: Final answer
    x = 884,162.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.