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Finding the Third Proportional to 145,569 and 318,126

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Solution

The third proportional to 145,569 and 318,126 is: 695,231.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,569 : 318,126 = 318,126 : x
  2. Step 2: Convert to fraction form
    145,569/318,126 = 318,126/x
  3. Step 3: Cross multiply
    145,569x = 318,126 × 318,126
  4. Step 4: Simplify right side
    145,569x = 101,204,151,876
  5. Step 5: Solve for x
    x = 101,204,151,876/145,569
  6. Step 6: Final answer
    x = 695,231.48

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.