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Finding the Third Proportional to 321,127 and 661,693

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Solution

The third proportional to 321,127 and 661,693 is: 1,363,440.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,127 : 661,693 = 661,693 : x
  2. Step 2: Convert to fraction form
    321,127/661,693 = 661,693/x
  3. Step 3: Cross multiply
    321,127x = 661,693 × 661,693
  4. Step 4: Simplify right side
    321,127x = 437,837,626,249
  5. Step 5: Solve for x
    x = 437,837,626,249/321,127
  6. Step 6: Final answer
    x = 1,363,440.71

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.