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Finding the Third Proportional to 307,548 and 661,080

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Solution

The third proportional to 307,548 and 661,080 is: 1,421,003.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,548 : 661,080 = 661,080 : x
  2. Step 2: Convert to fraction form
    307,548/661,080 = 661,080/x
  3. Step 3: Cross multiply
    307,548x = 661,080 × 661,080
  4. Step 4: Simplify right side
    307,548x = 437,026,766,400
  5. Step 5: Solve for x
    x = 437,026,766,400/307,548
  6. Step 6: Final answer
    x = 1,421,003.44

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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.