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Finding the Third Proportional to 216,120 and 347,246.25

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Solution

The third proportional to 216,120 and 347,246.25 is: 557,930.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,120 : 347,246.25 = 347,246.25 : x
  2. Step 2: Convert to fraction form
    216,120/347,246.25 = 347,246.25/x
  3. Step 3: Cross multiply
    216,120x = 347,246.25 × 347,246.25
  4. Step 4: Simplify right side
    216,120x = 120,579,958,139.06
  5. Step 5: Solve for x
    x = 120,579,958,139.06/216,120
  6. Step 6: Final answer
    x = 557,930.59

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.