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Finding the Third Proportional to 869.70 and 1,876.08

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Solution

The third proportional to 869.70 and 1,876.08 is: 4,047.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.70 : 1,876.08 = 1,876.08 : x
  2. Step 2: Convert to fraction form
    869.70/1,876.08 = 1,876.08/x
  3. Step 3: Cross multiply
    869.70x = 1,876.08 × 1,876.08
  4. Step 4: Simplify right side
    869.70x = 3,519,669.13
  5. Step 5: Solve for x
    x = 3,519,669.13/869.70
  6. Step 6: Final answer
    x = 4,047.01

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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.