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Finding the Third Proportional to 349,953.75 and 721,990.13

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Solution

The third proportional to 349,953.75 and 721,990.13 is: 1,489,538.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,953.75 : 721,990.13 = 721,990.13 : x
  2. Step 2: Convert to fraction form
    349,953.75/721,990.13 = 721,990.13/x
  3. Step 3: Cross multiply
    349,953.75x = 721,990.13 × 721,990.13
  4. Step 4: Simplify right side
    349,953.75x = 521,269,740,597.52
  5. Step 5: Solve for x
    x = 521,269,740,597.52/349,953.75
  6. Step 6: Final answer
    x = 1,489,538.95

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.