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Finding the Third Proportional to 345,633.75 and 718,858.13

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Solution

The third proportional to 345,633.75 and 718,858.13 is: 1,495,099.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,633.75 : 718,858.13 = 718,858.13 : x
  2. Step 2: Convert to fraction form
    345,633.75/718,858.13 = 718,858.13/x
  3. Step 3: Cross multiply
    345,633.75x = 718,858.13 × 718,858.13
  4. Step 4: Simplify right side
    345,633.75x = 516,757,003,878.52
  5. Step 5: Solve for x
    x = 516,757,003,878.52/345,633.75
  6. Step 6: Final answer
    x = 1,495,099.95

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.