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Finding the Third Proportional to 343,417 and 745,917

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Solution

The third proportional to 343,417 and 745,917 is: 1,620,164.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,417 : 745,917 = 745,917 : x
  2. Step 2: Convert to fraction form
    343,417/745,917 = 745,917/x
  3. Step 3: Cross multiply
    343,417x = 745,917 × 745,917
  4. Step 4: Simplify right side
    343,417x = 556,392,170,889
  5. Step 5: Solve for x
    x = 556,392,170,889/343,417
  6. Step 6: Final answer
    x = 1,620,164.90

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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.