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Finding the Third Proportional to 10,830.38 and 22,387.22

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Solution

The third proportional to 10,830.38 and 22,387.22 is: 46,276.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,830.38 : 22,387.22 = 22,387.22 : x
  2. Step 2: Convert to fraction form
    10,830.38/22,387.22 = 22,387.22/x
  3. Step 3: Cross multiply
    10,830.38x = 22,387.22 × 22,387.22
  4. Step 4: Simplify right side
    10,830.38x = 501,187,563.36
  5. Step 5: Solve for x
    x = 501,187,563.36/10,830.38
  6. Step 6: Final answer
    x = 46,276.10

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.