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Finding the Third Proportional to 349,980.75 and 722,044.13

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Solution

The third proportional to 349,980.75 and 722,044.13 is: 1,489,646.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,980.75 : 722,044.13 = 722,044.13 : x
  2. Step 2: Convert to fraction form
    349,980.75/722,044.13 = 722,044.13/x
  3. Step 3: Cross multiply
    349,980.75x = 722,044.13 × 722,044.13
  4. Step 4: Simplify right side
    349,980.75x = 521,347,718,447.02
  5. Step 5: Solve for x
    x = 521,347,718,447.02/349,980.75
  6. Step 6: Final answer
    x = 1,489,646.84

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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.