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Finding the Third Proportional to 687,231 and 1,421,604

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Solution

The third proportional to 687,231 and 1,421,604 is: 2,940,725.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,231 : 1,421,604 = 1,421,604 : x
  2. Step 2: Convert to fraction form
    687,231/1,421,604 = 1,421,604/x
  3. Step 3: Cross multiply
    687,231x = 1,421,604 × 1,421,604
  4. Step 4: Simplify right side
    687,231x = 2,020,957,932,816
  5. Step 5: Solve for x
    x = 2,020,957,932,816/687,231
  6. Step 6: Final answer
    x = 2,940,725.80

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.