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Finding the Third Proportional to 132,949.13 and 291,729.38

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Solution

The third proportional to 132,949.13 and 291,729.38 is: 640,139.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,949.13 : 291,729.38 = 291,729.38 : x
  2. Step 2: Convert to fraction form
    132,949.13/291,729.38 = 291,729.38/x
  3. Step 3: Cross multiply
    132,949.13x = 291,729.38 × 291,729.38
  4. Step 4: Simplify right side
    132,949.13x = 85,106,028,237.89
  5. Step 5: Solve for x
    x = 85,106,028,237.89/132,949.13
  6. Step 6: Final answer
    x = 640,139.81

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.