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Finding the Third Proportional to 345,663 and 718,917

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Solution

The third proportional to 345,663 and 718,917 is: 1,495,218.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,663 : 718,917 = 718,917 : x
  2. Step 2: Convert to fraction form
    345,663/718,917 = 718,917/x
  3. Step 3: Cross multiply
    345,663x = 718,917 × 718,917
  4. Step 4: Simplify right side
    345,663x = 516,841,652,889
  5. Step 5: Solve for x
    x = 516,841,652,889/345,663
  6. Step 6: Final answer
    x = 1,495,218.33

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.