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Finding the Third Proportional to 216,981 and 469,055

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Solution

The third proportional to 216,981 and 469,055 is: 1,013,971.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,981 : 469,055 = 469,055 : x
  2. Step 2: Convert to fraction form
    216,981/469,055 = 469,055/x
  3. Step 3: Cross multiply
    216,981x = 469,055 × 469,055
  4. Step 4: Simplify right side
    216,981x = 220,012,593,025
  5. Step 5: Solve for x
    x = 220,012,593,025/216,981
  6. Step 6: Final answer
    x = 1,013,971.70

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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.