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Finding the Third Proportional to 299,773.13 and 642,279.94

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Solution

The third proportional to 299,773.13 and 642,279.94 is: 1,376,119.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,773.13 : 642,279.94 = 642,279.94 : x
  2. Step 2: Convert to fraction form
    299,773.13/642,279.94 = 642,279.94/x
  3. Step 3: Cross multiply
    299,773.13x = 642,279.94 × 642,279.94
  4. Step 4: Simplify right side
    299,773.13x = 412,523,518,115.00
  5. Step 5: Solve for x
    x = 412,523,518,115.00/299,773.13
  6. Step 6: Final answer
    x = 1,376,119.08

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.