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Finding the Third Proportional to 51,355 and 77,397

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Solution

The third proportional to 51,355 and 77,397 is: 116,644.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,355 : 77,397 = 77,397 : x
  2. Step 2: Convert to fraction form
    51,355/77,397 = 77,397/x
  3. Step 3: Cross multiply
    51,355x = 77,397 × 77,397
  4. Step 4: Simplify right side
    51,355x = 5,990,295,609
  5. Step 5: Solve for x
    x = 5,990,295,609/51,355
  6. Step 6: Final answer
    x = 116,644.84

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.