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Finding the Third Proportional to 145,536 and 217,405

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Solution

The third proportional to 145,536 and 217,405 is: 324,764.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,536 : 217,405 = 217,405 : x
  2. Step 2: Convert to fraction form
    145,536/217,405 = 217,405/x
  3. Step 3: Cross multiply
    145,536x = 217,405 × 217,405
  4. Step 4: Simplify right side
    145,536x = 47,264,934,025
  5. Step 5: Solve for x
    x = 47,264,934,025/145,536
  6. Step 6: Final answer
    x = 324,764.55

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.