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Finding the Third Proportional to 131,496 and 213,637

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Solution

The third proportional to 131,496 and 213,637 is: 347,088.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,496 : 213,637 = 213,637 : x
  2. Step 2: Convert to fraction form
    131,496/213,637 = 213,637/x
  3. Step 3: Cross multiply
    131,496x = 213,637 × 213,637
  4. Step 4: Simplify right side
    131,496x = 45,640,767,769
  5. Step 5: Solve for x
    x = 45,640,767,769/131,496
  6. Step 6: Final answer
    x = 347,088.64

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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.