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Finding the Third Proportional to 99,772.88 and 215,371.13

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Solution

The third proportional to 99,772.88 and 215,371.13 is: 464,903.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,772.88 : 215,371.13 = 215,371.13 : x
  2. Step 2: Convert to fraction form
    99,772.88/215,371.13 = 215,371.13/x
  3. Step 3: Cross multiply
    99,772.88x = 215,371.13 × 215,371.13
  4. Step 4: Simplify right side
    99,772.88x = 46,384,721,483.77
  5. Step 5: Solve for x
    x = 46,384,721,483.77/99,772.88
  6. Step 6: Final answer
    x = 464,903.13

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.