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Finding the Third Proportional to 351,259 and 761,571

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Solution

The third proportional to 351,259 and 761,571 is: 1,651,175.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,259 : 761,571 = 761,571 : x
  2. Step 2: Convert to fraction form
    351,259/761,571 = 761,571/x
  3. Step 3: Cross multiply
    351,259x = 761,571 × 761,571
  4. Step 4: Simplify right side
    351,259x = 579,990,388,041
  5. Step 5: Solve for x
    x = 579,990,388,041/351,259
  6. Step 6: Final answer
    x = 1,651,175.88

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.