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Finding the Third Proportional to 210,884.50 and 454,986

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Solution

The third proportional to 210,884.50 and 454,986 is: 981,638.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,884.50 : 454,986 = 454,986 : x
  2. Step 2: Convert to fraction form
    210,884.50/454,986 = 454,986/x
  3. Step 3: Cross multiply
    210,884.50x = 454,986 × 454,986
  4. Step 4: Simplify right side
    210,884.50x = 207,012,260,196
  5. Step 5: Solve for x
    x = 207,012,260,196/210,884.50
  6. Step 6: Final answer
    x = 981,638.10

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.