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Finding the Third Proportional to 351,109.13 and 558,739.69

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Solution

The third proportional to 351,109.13 and 558,739.69 is: 889,153.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,109.13 : 558,739.69 = 558,739.69 : x
  2. Step 2: Convert to fraction form
    351,109.13/558,739.69 = 558,739.69/x
  3. Step 3: Cross multiply
    351,109.13x = 558,739.69 × 558,739.69
  4. Step 4: Simplify right side
    351,109.13x = 312,190,038,387.60
  5. Step 5: Solve for x
    x = 312,190,038,387.60/351,109.13
  6. Step 6: Final answer
    x = 889,153.87

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.