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Finding the Third Proportional to 345,983 and 760,126

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Solution

The third proportional to 345,983 and 760,126 is: 1,669,999.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,983 : 760,126 = 760,126 : x
  2. Step 2: Convert to fraction form
    345,983/760,126 = 760,126/x
  3. Step 3: Cross multiply
    345,983x = 760,126 × 760,126
  4. Step 4: Simplify right side
    345,983x = 577,791,535,876
  5. Step 5: Solve for x
    x = 577,791,535,876/345,983
  6. Step 6: Final answer
    x = 1,669,999.79

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.