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Finding the Third Proportional to 399,268.88 and 598,288.13

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Solution

The third proportional to 399,268.88 and 598,288.13 is: 896,510.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,268.88 : 598,288.13 = 598,288.13 : x
  2. Step 2: Convert to fraction form
    399,268.88/598,288.13 = 598,288.13/x
  3. Step 3: Cross multiply
    399,268.88x = 598,288.13 × 598,288.13
  4. Step 4: Simplify right side
    399,268.88x = 357,948,680,516.02
  5. Step 5: Solve for x
    x = 357,948,680,516.02/399,268.88
  6. Step 6: Final answer
    x = 896,510.35

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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.