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Finding the Third Proportional to 198,567.75 and 299,678.63

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Solution

The third proportional to 198,567.75 and 299,678.63 is: 452,275.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,567.75 : 299,678.63 = 299,678.63 : x
  2. Step 2: Convert to fraction form
    198,567.75/299,678.63 = 299,678.63/x
  3. Step 3: Cross multiply
    198,567.75x = 299,678.63 × 299,678.63
  4. Step 4: Simplify right side
    198,567.75x = 89,807,278,281.89
  5. Step 5: Solve for x
    x = 89,807,278,281.89/198,567.75
  6. Step 6: Final answer
    x = 452,275.25

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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.