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Finding the Third Proportional to 320,182 and 690,020

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Solution

The third proportional to 320,182 and 690,020 is: 1,487,052.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,182 : 690,020 = 690,020 : x
  2. Step 2: Convert to fraction form
    320,182/690,020 = 690,020/x
  3. Step 3: Cross multiply
    320,182x = 690,020 × 690,020
  4. Step 4: Simplify right side
    320,182x = 476,127,600,400
  5. Step 5: Solve for x
    x = 476,127,600,400/320,182
  6. Step 6: Final answer
    x = 1,487,052.99

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.