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Finding the Third Proportional to 13,115.59 and 19,772.70

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Solution

The third proportional to 13,115.59 and 19,772.70 is: 29,808.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,115.59 : 19,772.70 = 19,772.70 : x
  2. Step 2: Convert to fraction form
    13,115.59/19,772.70 = 19,772.70/x
  3. Step 3: Cross multiply
    13,115.59x = 19,772.70 × 19,772.70
  4. Step 4: Simplify right side
    13,115.59x = 390,959,711.63
  5. Step 5: Solve for x
    x = 390,959,711.63/13,115.59
  6. Step 6: Final answer
    x = 29,808.77

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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.