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Finding the Third Proportional to 2,348.87 and 3,446.40

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Solution

The third proportional to 2,348.87 and 3,446.40 is: 5,056.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,348.87 : 3,446.40 = 3,446.40 : x
  2. Step 2: Convert to fraction form
    2,348.87/3,446.40 = 3,446.40/x
  3. Step 3: Cross multiply
    2,348.87x = 3,446.40 × 3,446.40
  4. Step 4: Simplify right side
    2,348.87x = 11,877,689.12
  5. Step 5: Solve for x
    x = 11,877,689.12/2,348.87
  6. Step 6: Final answer
    x = 5,056.77

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.