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Finding the Third Proportional to 217,434.75 and 345,916.13

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Solution

The third proportional to 217,434.75 and 345,916.13 is: 550,316.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,434.75 : 345,916.13 = 345,916.13 : x
  2. Step 2: Convert to fraction form
    217,434.75/345,916.13 = 345,916.13/x
  3. Step 3: Cross multiply
    217,434.75x = 345,916.13 × 345,916.13
  4. Step 4: Simplify right side
    217,434.75x = 119,657,965,535.02
  5. Step 5: Solve for x
    x = 119,657,965,535.02/217,434.75
  6. Step 6: Final answer
    x = 550,316.66

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.