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Finding the Third Proportional to 52,382 and 78,789

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Solution

The third proportional to 52,382 and 78,789 is: 118,508.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,382 : 78,789 = 78,789 : x
  2. Step 2: Convert to fraction form
    52,382/78,789 = 78,789/x
  3. Step 3: Cross multiply
    52,382x = 78,789 × 78,789
  4. Step 4: Simplify right side
    52,382x = 6,207,706,521
  5. Step 5: Solve for x
    x = 6,207,706,521/52,382
  6. Step 6: Final answer
    x = 118,508.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.