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Finding the Third Proportional to 9,118.13 and 13,038.75

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Solution

The third proportional to 9,118.13 and 13,038.75 is: 18,645.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,118.13 : 13,038.75 = 13,038.75 : x
  2. Step 2: Convert to fraction form
    9,118.13/13,038.75 = 13,038.75/x
  3. Step 3: Cross multiply
    9,118.13x = 13,038.75 × 13,038.75
  4. Step 4: Simplify right side
    9,118.13x = 170,009,001.56
  5. Step 5: Solve for x
    x = 170,009,001.56/9,118.13
  6. Step 6: Final answer
    x = 18,645.17

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.