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Finding the Third Proportional to 307,910 and 661,660

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Solution

The third proportional to 307,910 and 661,660 is: 1,421,824.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,910 : 661,660 = 661,660 : x
  2. Step 2: Convert to fraction form
    307,910/661,660 = 661,660/x
  3. Step 3: Cross multiply
    307,910x = 661,660 × 661,660
  4. Step 4: Simplify right side
    307,910x = 437,793,955,600
  5. Step 5: Solve for x
    x = 437,793,955,600/307,910
  6. Step 6: Final answer
    x = 1,421,824.41

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.