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Finding the Third Proportional to 343,413 and 745,908

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Solution

The third proportional to 343,413 and 745,908 is: 1,620,144.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,413 : 745,908 = 745,908 : x
  2. Step 2: Convert to fraction form
    343,413/745,908 = 745,908/x
  3. Step 3: Cross multiply
    343,413x = 745,908 × 745,908
  4. Step 4: Simplify right side
    343,413x = 556,378,744,464
  5. Step 5: Solve for x
    x = 556,378,744,464/343,413
  6. Step 6: Final answer
    x = 1,620,144.68

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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.