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Finding the Third Proportional to 144,005 and 310,087

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Solution

The third proportional to 144,005 and 310,087 is: 667,712.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,005 : 310,087 = 310,087 : x
  2. Step 2: Convert to fraction form
    144,005/310,087 = 310,087/x
  3. Step 3: Cross multiply
    144,005x = 310,087 × 310,087
  4. Step 4: Simplify right side
    144,005x = 96,153,947,569
  5. Step 5: Solve for x
    x = 96,153,947,569/144,005
  6. Step 6: Final answer
    x = 667,712.56

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.