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Finding the Third Proportional to 345,117 and 706,965

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Solution

The third proportional to 345,117 and 706,965 is: 1,448,203.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,117 : 706,965 = 706,965 : x
  2. Step 2: Convert to fraction form
    345,117/706,965 = 706,965/x
  3. Step 3: Cross multiply
    345,117x = 706,965 × 706,965
  4. Step 4: Simplify right side
    345,117x = 499,799,511,225
  5. Step 5: Solve for x
    x = 499,799,511,225/345,117
  6. Step 6: Final answer
    x = 1,448,203.11

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.