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Finding the Third Proportional to 229,890 and 491,331

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Solution

The third proportional to 229,890 and 491,331 is: 1,050,094.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,890 : 491,331 = 491,331 : x
  2. Step 2: Convert to fraction form
    229,890/491,331 = 491,331/x
  3. Step 3: Cross multiply
    229,890x = 491,331 × 491,331
  4. Step 4: Simplify right side
    229,890x = 241,406,151,561
  5. Step 5: Solve for x
    x = 241,406,151,561/229,890
  6. Step 6: Final answer
    x = 1,050,094.18

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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.