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Finding the Third Proportional to 326,486 and 686,020

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Solution

The third proportional to 326,486 and 686,020 is: 1,441,481.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,486 : 686,020 = 686,020 : x
  2. Step 2: Convert to fraction form
    326,486/686,020 = 686,020/x
  3. Step 3: Cross multiply
    326,486x = 686,020 × 686,020
  4. Step 4: Simplify right side
    326,486x = 470,623,440,400
  5. Step 5: Solve for x
    x = 470,623,440,400/326,486
  6. Step 6: Final answer
    x = 1,441,481.23

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.