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Finding the Third Proportional to 9,406.13 and 20,248.31

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Solution

The third proportional to 9,406.13 and 20,248.31 is: 43,588.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,406.13 : 20,248.31 = 20,248.31 : x
  2. Step 2: Convert to fraction form
    9,406.13/20,248.31 = 20,248.31/x
  3. Step 3: Cross multiply
    9,406.13x = 20,248.31 × 20,248.31
  4. Step 4: Simplify right side
    9,406.13x = 409,994,159.10
  5. Step 5: Solve for x
    x = 409,994,159.10/9,406.13
  6. Step 6: Final answer
    x = 43,588.00

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.