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Finding the Third Proportional to 216,867 and 469,931

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Solution

The third proportional to 216,867 and 469,931 is: 1,018,297.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,867 : 469,931 = 469,931 : x
  2. Step 2: Convert to fraction form
    216,867/469,931 = 469,931/x
  3. Step 3: Cross multiply
    216,867x = 469,931 × 469,931
  4. Step 4: Simplify right side
    216,867x = 220,835,144,761
  5. Step 5: Solve for x
    x = 220,835,144,761/216,867
  6. Step 6: Final answer
    x = 1,018,297.60

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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.