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Finding the Third Proportional to 10,312.31 and 15,400.13

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Solution

The third proportional to 10,312.31 and 15,400.13 is: 22,998.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,312.31 : 15,400.13 = 15,400.13 : x
  2. Step 2: Convert to fraction form
    10,312.31/15,400.13 = 15,400.13/x
  3. Step 3: Cross multiply
    10,312.31x = 15,400.13 × 15,400.13
  4. Step 4: Simplify right side
    10,312.31x = 237,163,850.02
  5. Step 5: Solve for x
    x = 237,163,850.02/10,312.31
  6. Step 6: Final answer
    x = 22,998.12

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.