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Finding the Third Proportional to 198,424.69 and 299,482.31

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Solution

The third proportional to 198,424.69 and 299,482.31 is: 452,008.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,424.69 : 299,482.31 = 299,482.31 : x
  2. Step 2: Convert to fraction form
    198,424.69/299,482.31 = 299,482.31/x
  3. Step 3: Cross multiply
    198,424.69x = 299,482.31 × 299,482.31
  4. Step 4: Simplify right side
    198,424.69x = 89,689,655,500.35
  5. Step 5: Solve for x
    x = 89,689,655,500.35/198,424.69
  6. Step 6: Final answer
    x = 452,008.55

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.