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Finding the Third Proportional to 199,478.95 and 299,417.77

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Solution

The third proportional to 199,478.95 and 299,417.77 is: 449,425.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,478.95 : 299,417.77 = 299,417.77 : x
  2. Step 2: Convert to fraction form
    199,478.95/299,417.77 = 299,417.77/x
  3. Step 3: Cross multiply
    199,478.95x = 299,417.77 × 299,417.77
  4. Step 4: Simplify right side
    199,478.95x = 89,650,998,371.87
  5. Step 5: Solve for x
    x = 89,650,998,371.87/199,478.95
  6. Step 6: Final answer
    x = 449,425.85

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Why These Related Problems?

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