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Finding the Third Proportional to 398,813.63 and 591,958.13

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Solution

The third proportional to 398,813.63 and 591,958.13 is: 878,642.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,813.63 : 591,958.13 = 591,958.13 : x
  2. Step 2: Convert to fraction form
    398,813.63/591,958.13 = 591,958.13/x
  3. Step 3: Cross multiply
    398,813.63x = 591,958.13 × 591,958.13
  4. Step 4: Simplify right side
    398,813.63x = 350,414,421,753.52
  5. Step 5: Solve for x
    x = 350,414,421,753.52/398,813.63
  6. Step 6: Final answer
    x = 878,642.05

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.