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Finding the Third Proportional to 71,478.25 and 105,138.13

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Solution

The third proportional to 71,478.25 and 105,138.13 is: 154,648.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,478.25 : 105,138.13 = 105,138.13 : x
  2. Step 2: Convert to fraction form
    71,478.25/105,138.13 = 105,138.13/x
  3. Step 3: Cross multiply
    71,478.25x = 105,138.13 × 105,138.13
  4. Step 4: Simplify right side
    71,478.25x = 11,054,025,328.52
  5. Step 5: Solve for x
    x = 11,054,025,328.52/71,478.25
  6. Step 6: Final answer
    x = 154,648.80

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.