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Finding the Third Proportional to 459,598.50 and 686,616.75

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Solution

The third proportional to 459,598.50 and 686,616.75 is: 1,025,770.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,598.50 : 686,616.75 = 686,616.75 : x
  2. Step 2: Convert to fraction form
    459,598.50/686,616.75 = 686,616.75/x
  3. Step 3: Cross multiply
    459,598.50x = 686,616.75 × 686,616.75
  4. Step 4: Simplify right side
    459,598.50x = 471,442,561,380.56
  5. Step 5: Solve for x
    x = 471,442,561,380.56/459,598.50
  6. Step 6: Final answer
    x = 1,025,770.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.