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Finding the Third Proportional to 25,287.19 and 27,918.42

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Solution

The third proportional to 25,287.19 and 27,918.42 is: 30,823.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,287.19 : 27,918.42 = 27,918.42 : x
  2. Step 2: Convert to fraction form
    25,287.19/27,918.42 = 27,918.42/x
  3. Step 3: Cross multiply
    25,287.19x = 27,918.42 × 27,918.42
  4. Step 4: Simplify right side
    25,287.19x = 779,438,279.99
  5. Step 5: Solve for x
    x = 779,438,279.99/25,287.19
  6. Step 6: Final answer
    x = 30,823.45

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.