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Finding the Third Proportional to 321,813 and 686,358

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Solution

The third proportional to 321,813 and 686,358 is: 1,463,854.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,813 : 686,358 = 686,358 : x
  2. Step 2: Convert to fraction form
    321,813/686,358 = 686,358/x
  3. Step 3: Cross multiply
    321,813x = 686,358 × 686,358
  4. Step 4: Simplify right side
    321,813x = 471,087,304,164
  5. Step 5: Solve for x
    x = 471,087,304,164/321,813
  6. Step 6: Final answer
    x = 1,463,854.18

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.