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Finding the Third Proportional to 309,080 and 651,919

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Solution

The third proportional to 309,080 and 651,919 is: 1,375,043.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,080 : 651,919 = 651,919 : x
  2. Step 2: Convert to fraction form
    309,080/651,919 = 651,919/x
  3. Step 3: Cross multiply
    309,080x = 651,919 × 651,919
  4. Step 4: Simplify right side
    309,080x = 424,998,382,561
  5. Step 5: Solve for x
    x = 424,998,382,561/309,080
  6. Step 6: Final answer
    x = 1,375,043.30

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.