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Finding the Third Proportional to 98,521.31 and 140,400.84

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Solution

The third proportional to 98,521.31 and 140,400.84 is: 200,082.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,521.31 : 140,400.84 = 140,400.84 : x
  2. Step 2: Convert to fraction form
    98,521.31/140,400.84 = 140,400.84/x
  3. Step 3: Cross multiply
    98,521.31x = 140,400.84 × 140,400.84
  4. Step 4: Simplify right side
    98,521.31x = 19,712,396,925.71
  5. Step 5: Solve for x
    x = 19,712,396,925.71/98,521.31
  6. Step 6: Final answer
    x = 200,082.57

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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.