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Finding the Third Proportional to 869.48 and 1,874.71

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Solution

The third proportional to 869.48 and 1,874.71 is: 4,042.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.48 : 1,874.71 = 1,874.71 : x
  2. Step 2: Convert to fraction form
    869.48/1,874.71 = 1,874.71/x
  3. Step 3: Cross multiply
    869.48x = 1,874.71 × 1,874.71
  4. Step 4: Simplify right side
    869.48x = 3,514,526.45
  5. Step 5: Solve for x
    x = 3,514,526.45/869.48
  6. Step 6: Final answer
    x = 4,042.08

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.