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Finding the Third Proportional to 98,784.38 and 141,160.75

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Solution

The third proportional to 98,784.38 and 141,160.75 is: 201,715.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,784.38 : 141,160.75 = 141,160.75 : x
  2. Step 2: Convert to fraction form
    98,784.38/141,160.75 = 141,160.75/x
  3. Step 3: Cross multiply
    98,784.38x = 141,160.75 × 141,160.75
  4. Step 4: Simplify right side
    98,784.38x = 19,926,357,340.56
  5. Step 5: Solve for x
    x = 19,926,357,340.56/98,784.38
  6. Step 6: Final answer
    x = 201,715.68

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.