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Finding the Third Proportional to 399,080 and 586,949

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Solution

The third proportional to 399,080 and 586,949 is: 863,258.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,080 : 586,949 = 586,949 : x
  2. Step 2: Convert to fraction form
    399,080/586,949 = 586,949/x
  3. Step 3: Cross multiply
    399,080x = 586,949 × 586,949
  4. Step 4: Simplify right side
    399,080x = 344,509,128,601
  5. Step 5: Solve for x
    x = 344,509,128,601/399,080
  6. Step 6: Final answer
    x = 863,258.32

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.