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Finding the Third Proportional to 307,557 and 661,098

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Solution

The third proportional to 307,557 and 661,098 is: 1,421,039.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,557 : 661,098 = 661,098 : x
  2. Step 2: Convert to fraction form
    307,557/661,098 = 661,098/x
  3. Step 3: Cross multiply
    307,557x = 661,098 × 661,098
  4. Step 4: Simplify right side
    307,557x = 437,050,565,604
  5. Step 5: Solve for x
    x = 437,050,565,604/307,557
  6. Step 6: Final answer
    x = 1,421,039.24

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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.