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Finding the Third Proportional to 306,466 and 649,791

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Solution

The third proportional to 306,466 and 649,791 is: 1,377,733.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,466 : 649,791 = 649,791 : x
  2. Step 2: Convert to fraction form
    306,466/649,791 = 649,791/x
  3. Step 3: Cross multiply
    306,466x = 649,791 × 649,791
  4. Step 4: Simplify right side
    306,466x = 422,228,343,681
  5. Step 5: Solve for x
    x = 422,228,343,681/306,466
  6. Step 6: Final answer
    x = 1,377,733.07

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.