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Finding the Third Proportional to 131,473 and 213,603

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Solution

The third proportional to 131,473 and 213,603 is: 347,038.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,473 : 213,603 = 213,603 : x
  2. Step 2: Convert to fraction form
    131,473/213,603 = 213,603/x
  3. Step 3: Cross multiply
    131,473x = 213,603 × 213,603
  4. Step 4: Simplify right side
    131,473x = 45,626,241,609
  5. Step 5: Solve for x
    x = 45,626,241,609/131,473
  6. Step 6: Final answer
    x = 347,038.87

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.