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Finding the Third Proportional to 323,142 and 690,270

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Solution

The third proportional to 323,142 and 690,270 is: 1,474,499.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,142 : 690,270 = 690,270 : x
  2. Step 2: Convert to fraction form
    323,142/690,270 = 690,270/x
  3. Step 3: Cross multiply
    323,142x = 690,270 × 690,270
  4. Step 4: Simplify right side
    323,142x = 476,472,672,900
  5. Step 5: Solve for x
    x = 476,472,672,900/323,142
  6. Step 6: Final answer
    x = 1,474,499.36

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.