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Finding the Third Proportional to 216,889 and 469,980

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Solution

The third proportional to 216,889 and 469,980 is: 1,018,406.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,889 : 469,980 = 469,980 : x
  2. Step 2: Convert to fraction form
    216,889/469,980 = 469,980/x
  3. Step 3: Cross multiply
    216,889x = 469,980 × 469,980
  4. Step 4: Simplify right side
    216,889x = 220,881,200,400
  5. Step 5: Solve for x
    x = 220,881,200,400/216,889
  6. Step 6: Final answer
    x = 1,018,406.65

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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.