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Finding the Third Proportional to 99,871.50 and 214,431

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Solution

The third proportional to 99,871.50 and 214,431 is: 460,398.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,871.50 : 214,431 = 214,431 : x
  2. Step 2: Convert to fraction form
    99,871.50/214,431 = 214,431/x
  3. Step 3: Cross multiply
    99,871.50x = 214,431 × 214,431
  4. Step 4: Simplify right side
    99,871.50x = 45,980,653,761
  5. Step 5: Solve for x
    x = 45,980,653,761/99,871.50
  6. Step 6: Final answer
    x = 460,398.15

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.