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Finding the Third Proportional to 99,342 and 212,888.25

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Solution

The third proportional to 99,342 and 212,888.25 is: 456,215.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,342 : 212,888.25 = 212,888.25 : x
  2. Step 2: Convert to fraction form
    99,342/212,888.25 = 212,888.25/x
  3. Step 3: Cross multiply
    99,342x = 212,888.25 × 212,888.25
  4. Step 4: Simplify right side
    99,342x = 45,321,406,988.06
  5. Step 5: Solve for x
    x = 45,321,406,988.06/99,342
  6. Step 6: Final answer
    x = 456,215.97

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.