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Finding the Third Proportional to 48,138 and 72,417

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Solution

The third proportional to 48,138 and 72,417 is: 108,941.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,138 : 72,417 = 72,417 : x
  2. Step 2: Convert to fraction form
    48,138/72,417 = 72,417/x
  3. Step 3: Cross multiply
    48,138x = 72,417 × 72,417
  4. Step 4: Simplify right side
    48,138x = 5,244,221,889
  5. Step 5: Solve for x
    x = 5,244,221,889/48,138
  6. Step 6: Final answer
    x = 108,941.42

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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.