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Finding the Third Proportional to 690,431 and 1,500,372.88

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Solution

The third proportional to 690,431 and 1,500,372.88 is: 3,260,454.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    690,431 : 1,500,372.88 = 1,500,372.88 : x
  2. Step 2: Convert to fraction form
    690,431/1,500,372.88 = 1,500,372.88/x
  3. Step 3: Cross multiply
    690,431x = 1,500,372.88 × 1,500,372.88
  4. Step 4: Simplify right side
    690,431x = 2,251,118,764,035.77
  5. Step 5: Solve for x
    x = 2,251,118,764,035.77/690,431
  6. Step 6: Final answer
    x = 3,260,454.36

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.