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Finding the Third Proportional to 461,756 and 690,776

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Solution

The third proportional to 461,756 and 690,776 is: 1,033,384.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,756 : 690,776 = 690,776 : x
  2. Step 2: Convert to fraction form
    461,756/690,776 = 690,776/x
  3. Step 3: Cross multiply
    461,756x = 690,776 × 690,776
  4. Step 4: Simplify right side
    461,756x = 477,171,482,176
  5. Step 5: Solve for x
    x = 477,171,482,176/461,756
  6. Step 6: Final answer
    x = 1,033,384.48

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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.