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Finding the Third Proportional to 551,489 and 759,431

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Solution

The third proportional to 551,489 and 759,431 is: 1,045,778.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,489 : 759,431 = 759,431 : x
  2. Step 2: Convert to fraction form
    551,489/759,431 = 759,431/x
  3. Step 3: Cross multiply
    551,489x = 759,431 × 759,431
  4. Step 4: Simplify right side
    551,489x = 576,735,443,761
  5. Step 5: Solve for x
    x = 576,735,443,761/551,489
  6. Step 6: Final answer
    x = 1,045,778.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.