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Finding the Third Proportional to 216,283 and 462,458

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Solution

The third proportional to 216,283 and 462,458 is: 988,831.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,283 : 462,458 = 462,458 : x
  2. Step 2: Convert to fraction form
    216,283/462,458 = 462,458/x
  3. Step 3: Cross multiply
    216,283x = 462,458 × 462,458
  4. Step 4: Simplify right side
    216,283x = 213,867,401,764
  5. Step 5: Solve for x
    x = 213,867,401,764/216,283
  6. Step 6: Final answer
    x = 988,831.31

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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.