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Finding the Third Proportional to 69,279.47 and 149,374.13

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Solution

The third proportional to 69,279.47 and 149,374.13 is: 322,066.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,279.47 : 149,374.13 = 149,374.13 : x
  2. Step 2: Convert to fraction form
    69,279.47/149,374.13 = 149,374.13/x
  3. Step 3: Cross multiply
    69,279.47x = 149,374.13 × 149,374.13
  4. Step 4: Simplify right side
    69,279.47x = 22,312,629,219.52
  5. Step 5: Solve for x
    x = 22,312,629,219.52/69,279.47
  6. Step 6: Final answer
    x = 322,066.98

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.