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Finding the Third Proportional to 307,866 and 661,578

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Solution

The third proportional to 307,866 and 661,578 is: 1,421,675.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,866 : 661,578 = 661,578 : x
  2. Step 2: Convert to fraction form
    307,866/661,578 = 661,578/x
  3. Step 3: Cross multiply
    307,866x = 661,578 × 661,578
  4. Step 4: Simplify right side
    307,866x = 437,685,450,084
  5. Step 5: Solve for x
    x = 437,685,450,084/307,866
  6. Step 6: Final answer
    x = 1,421,675.18

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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.