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Finding the Third Proportional to 51,442 and 77,711

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Solution

The third proportional to 51,442 and 77,711 is: 117,394.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,442 : 77,711 = 77,711 : x
  2. Step 2: Convert to fraction form
    51,442/77,711 = 77,711/x
  3. Step 3: Cross multiply
    51,442x = 77,711 × 77,711
  4. Step 4: Simplify right side
    51,442x = 6,038,999,521
  5. Step 5: Solve for x
    x = 6,038,999,521/51,442
  6. Step 6: Final answer
    x = 117,394.34

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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.