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Finding the Third Proportional to 51,476 and 79,654

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Solution

The third proportional to 51,476 and 79,654 is: 123,256.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,476 : 79,654 = 79,654 : x
  2. Step 2: Convert to fraction form
    51,476/79,654 = 79,654/x
  3. Step 3: Cross multiply
    51,476x = 79,654 × 79,654
  4. Step 4: Simplify right side
    51,476x = 6,344,759,716
  5. Step 5: Solve for x
    x = 6,344,759,716/51,476
  6. Step 6: Final answer
    x = 123,256.66

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.