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Finding the Third Proportional to 326,054 and 687,478

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Solution

The third proportional to 326,054 and 687,478 is: 1,449,532.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,054 : 687,478 = 687,478 : x
  2. Step 2: Convert to fraction form
    326,054/687,478 = 687,478/x
  3. Step 3: Cross multiply
    326,054x = 687,478 × 687,478
  4. Step 4: Simplify right side
    326,054x = 472,626,000,484
  5. Step 5: Solve for x
    x = 472,626,000,484/326,054
  6. Step 6: Final answer
    x = 1,449,532.90

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.