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Finding the Third Proportional to 144,995 and 318,359

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Solution

The third proportional to 144,995 and 318,359 is: 699,006.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,995 : 318,359 = 318,359 : x
  2. Step 2: Convert to fraction form
    144,995/318,359 = 318,359/x
  3. Step 3: Cross multiply
    144,995x = 318,359 × 318,359
  4. Step 4: Simplify right side
    144,995x = 101,352,452,881
  5. Step 5: Solve for x
    x = 101,352,452,881/144,995
  6. Step 6: Final answer
    x = 699,006.54

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.