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Finding the Third Proportional to 145,717 and 231,703

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Solution

The third proportional to 145,717 and 231,703 is: 368,428.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,717 : 231,703 = 231,703 : x
  2. Step 2: Convert to fraction form
    145,717/231,703 = 231,703/x
  3. Step 3: Cross multiply
    145,717x = 231,703 × 231,703
  4. Step 4: Simplify right side
    145,717x = 53,686,280,209
  5. Step 5: Solve for x
    x = 53,686,280,209/145,717
  6. Step 6: Final answer
    x = 368,428.39

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.