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Finding the Third Proportional to 461,120 and 691,680

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Solution

The third proportional to 461,120 and 691,680 is: 1,037,520

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,120 : 691,680 = 691,680 : x
  2. Step 2: Convert to fraction form
    461,120/691,680 = 691,680/x
  3. Step 3: Cross multiply
    461,120x = 691,680 × 691,680
  4. Step 4: Simplify right side
    461,120x = 478,421,222,400
  5. Step 5: Solve for x
    x = 478,421,222,400/461,120
  6. Step 6: Final answer
    x = 1,037,520

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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.