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Finding the Third Proportional to 213,957 and 299,108.25

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Solution

The third proportional to 213,957 and 299,108.25 is: 418,148.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,957 : 299,108.25 = 299,108.25 : x
  2. Step 2: Convert to fraction form
    213,957/299,108.25 = 299,108.25/x
  3. Step 3: Cross multiply
    213,957x = 299,108.25 × 299,108.25
  4. Step 4: Simplify right side
    213,957x = 89,465,745,218.06
  5. Step 5: Solve for x
    x = 89,465,745,218.06/213,957
  6. Step 6: Final answer
    x = 418,148.25

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.