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Finding the Third Proportional to 132,925.50 and 286,722

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Solution

The third proportional to 132,925.50 and 286,722 is: 618,463.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,925.50 : 286,722 = 286,722 : x
  2. Step 2: Convert to fraction form
    132,925.50/286,722 = 286,722/x
  3. Step 3: Cross multiply
    132,925.50x = 286,722 × 286,722
  4. Step 4: Simplify right side
    132,925.50x = 82,209,505,284
  5. Step 5: Solve for x
    x = 82,209,505,284/132,925.50
  6. Step 6: Final answer
    x = 618,463.01

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