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Finding the Third Proportional to 345,396 and 745,218

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Solution

The third proportional to 345,396 and 745,218 is: 1,607,864.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,396 : 745,218 = 745,218 : x
  2. Step 2: Convert to fraction form
    345,396/745,218 = 745,218/x
  3. Step 3: Cross multiply
    345,396x = 745,218 × 745,218
  4. Step 4: Simplify right side
    345,396x = 555,349,867,524
  5. Step 5: Solve for x
    x = 555,349,867,524/345,396
  6. Step 6: Final answer
    x = 1,607,864.21

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.