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Finding the Third Proportional to 435,769 and 653,437

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Solution

The third proportional to 435,769 and 653,437 is: 979,830.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,769 : 653,437 = 653,437 : x
  2. Step 2: Convert to fraction form
    435,769/653,437 = 653,437/x
  3. Step 3: Cross multiply
    435,769x = 653,437 × 653,437
  4. Step 4: Simplify right side
    435,769x = 426,979,912,969
  5. Step 5: Solve for x
    x = 426,979,912,969/435,769
  6. Step 6: Final answer
    x = 979,830.86

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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.