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Finding the Third Proportional to 306,366 and 661,926

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Solution

The third proportional to 306,366 and 661,926 is: 1,430,139.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,366 : 661,926 = 661,926 : x
  2. Step 2: Convert to fraction form
    306,366/661,926 = 661,926/x
  3. Step 3: Cross multiply
    306,366x = 661,926 × 661,926
  4. Step 4: Simplify right side
    306,366x = 438,146,029,476
  5. Step 5: Solve for x
    x = 438,146,029,476/306,366
  6. Step 6: Final answer
    x = 1,430,139.21

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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.