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Finding the Third Proportional to 399,012.75 and 586,855.13

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Solution

The third proportional to 399,012.75 and 586,855.13 is: 863,127.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,012.75 : 586,855.13 = 586,855.13 : x
  2. Step 2: Convert to fraction form
    399,012.75/586,855.13 = 586,855.13/x
  3. Step 3: Cross multiply
    399,012.75x = 586,855.13 × 586,855.13
  4. Step 4: Simplify right side
    399,012.75x = 344,398,937,738.77
  5. Step 5: Solve for x
    x = 344,398,937,738.77/399,012.75
  6. Step 6: Final answer
    x = 863,127.65

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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.