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Finding the Third Proportional to 144,400.50 and 347,878.13

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Solution

The third proportional to 144,400.50 and 347,878.13 is: 838,080.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,400.50 : 347,878.13 = 347,878.13 : x
  2. Step 2: Convert to fraction form
    144,400.50/347,878.13 = 347,878.13/x
  3. Step 3: Cross multiply
    144,400.50x = 347,878.13 × 347,878.13
  4. Step 4: Simplify right side
    144,400.50x = 121,019,189,853.52
  5. Step 5: Solve for x
    x = 121,019,189,853.52/144,400.50
  6. Step 6: Final answer
    x = 838,080.13

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.