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Finding the Third Proportional to 132,246.84 and 198,666.84

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Solution

The third proportional to 132,246.84 and 198,666.84 is: 298,445.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,246.84 : 198,666.84 = 198,666.84 : x
  2. Step 2: Convert to fraction form
    132,246.84/198,666.84 = 198,666.84/x
  3. Step 3: Cross multiply
    132,246.84x = 198,666.84 × 198,666.84
  4. Step 4: Simplify right side
    132,246.84x = 39,468,514,805.59
  5. Step 5: Solve for x
    x = 39,468,514,805.59/132,246.84
  6. Step 6: Final answer
    x = 298,445.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.