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Finding the Third Proportional to 320,236 and 687,959

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Solution

The third proportional to 320,236 and 687,959 is: 1,477,933.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,236 : 687,959 = 687,959 : x
  2. Step 2: Convert to fraction form
    320,236/687,959 = 687,959/x
  3. Step 3: Cross multiply
    320,236x = 687,959 × 687,959
  4. Step 4: Simplify right side
    320,236x = 473,287,585,681
  5. Step 5: Solve for x
    x = 473,287,585,681/320,236
  6. Step 6: Final answer
    x = 1,477,933.73

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.