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Finding the Third Proportional to 9,864.28 and 21,387.80

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Solution

The third proportional to 9,864.28 and 21,387.80 is: 46,373.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,864.28 : 21,387.80 = 21,387.80 : x
  2. Step 2: Convert to fraction form
    9,864.28/21,387.80 = 21,387.80/x
  3. Step 3: Cross multiply
    9,864.28x = 21,387.80 × 21,387.80
  4. Step 4: Simplify right side
    9,864.28x = 457,437,855.17
  5. Step 5: Solve for x
    x = 457,437,855.17/9,864.28
  6. Step 6: Final answer
    x = 46,373.16

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.