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Finding the Third Proportional to 101,209.50 and 217,988.51

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Solution

The third proportional to 101,209.50 and 217,988.51 is: 469,511.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,209.50 : 217,988.51 = 217,988.51 : x
  2. Step 2: Convert to fraction form
    101,209.50/217,988.51 = 217,988.51/x
  3. Step 3: Cross multiply
    101,209.50x = 217,988.51 × 217,988.51
  4. Step 4: Simplify right side
    101,209.50x = 47,518,989,538.32
  5. Step 5: Solve for x
    x = 47,518,989,538.32/101,209.50
  6. Step 6: Final answer
    x = 469,511.16

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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.