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Finding the Third Proportional to 51,010 and 79,539

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Solution

The third proportional to 51,010 and 79,539 is: 124,023.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,010 : 79,539 = 79,539 : x
  2. Step 2: Convert to fraction form
    51,010/79,539 = 79,539/x
  3. Step 3: Cross multiply
    51,010x = 79,539 × 79,539
  4. Step 4: Simplify right side
    51,010x = 6,326,452,521
  5. Step 5: Solve for x
    x = 6,326,452,521/51,010
  6. Step 6: Final answer
    x = 124,023.77

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.