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Finding the Third Proportional to 216,851 and 469,903

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Solution

The third proportional to 216,851 and 469,903 is: 1,018,251.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,851 : 469,903 = 469,903 : x
  2. Step 2: Convert to fraction form
    216,851/469,903 = 469,903/x
  3. Step 3: Cross multiply
    216,851x = 469,903 × 469,903
  4. Step 4: Simplify right side
    216,851x = 220,808,829,409
  5. Step 5: Solve for x
    x = 220,808,829,409/216,851
  6. Step 6: Final answer
    x = 1,018,251.38

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.