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Finding the Third Proportional to 349,115.06 and 815,869.13

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Solution

The third proportional to 349,115.06 and 815,869.13 is: 1,906,656.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,115.06 : 815,869.13 = 815,869.13 : x
  2. Step 2: Convert to fraction form
    349,115.06/815,869.13 = 815,869.13/x
  3. Step 3: Cross multiply
    349,115.06x = 815,869.13 × 815,869.13
  4. Step 4: Simplify right side
    349,115.06x = 665,642,429,128.27
  5. Step 5: Solve for x
    x = 665,642,429,128.27/349,115.06
  6. Step 6: Final answer
    x = 1,906,656.29

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.