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Finding the Third Proportional to 345,662 and 718,915

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Solution

The third proportional to 345,662 and 718,915 is: 1,495,214.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,662 : 718,915 = 718,915 : x
  2. Step 2: Convert to fraction form
    345,662/718,915 = 718,915/x
  3. Step 3: Cross multiply
    345,662x = 718,915 × 718,915
  4. Step 4: Simplify right side
    345,662x = 516,838,777,225
  5. Step 5: Solve for x
    x = 516,838,777,225/345,662
  6. Step 6: Final answer
    x = 1,495,214.33

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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.