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Finding the Third Proportional to 309,105 and 651,414

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Solution

The third proportional to 309,105 and 651,414 is: 1,372,802.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,105 : 651,414 = 651,414 : x
  2. Step 2: Convert to fraction form
    309,105/651,414 = 651,414/x
  3. Step 3: Cross multiply
    309,105x = 651,414 × 651,414
  4. Step 4: Simplify right side
    309,105x = 424,340,199,396
  5. Step 5: Solve for x
    x = 424,340,199,396/309,105
  6. Step 6: Final answer
    x = 1,372,802.77

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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.