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Finding the Third Proportional to 845,387.53 and 1,720,299.47

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Solution

The third proportional to 845,387.53 and 1,720,299.47 is: 3,500,678.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    845,387.53 : 1,720,299.47 = 1,720,299.47 : x
  2. Step 2: Convert to fraction form
    845,387.53/1,720,299.47 = 1,720,299.47/x
  3. Step 3: Cross multiply
    845,387.53x = 1,720,299.47 × 1,720,299.47
  4. Step 4: Simplify right side
    845,387.53x = 2,959,430,262,181.53
  5. Step 5: Solve for x
    x = 2,959,430,262,181.53/845,387.53
  6. Step 6: Final answer
    x = 3,500,678.86

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.