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Finding the Third Proportional to 307,545.19 and 665,634.38

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Solution

The third proportional to 307,545.19 and 665,634.38 is: 1,440,663.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,545.19 : 665,634.38 = 665,634.38 : x
  2. Step 2: Convert to fraction form
    307,545.19/665,634.38 = 665,634.38/x
  3. Step 3: Cross multiply
    307,545.19x = 665,634.38 × 665,634.38
  4. Step 4: Simplify right side
    307,545.19x = 443,069,121,181.64
  5. Step 5: Solve for x
    x = 443,069,121,181.64/307,545.19
  6. Step 6: Final answer
    x = 1,440,663.48

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.