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Finding the Third Proportional to 216,370 and 332,779

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Solution

The third proportional to 216,370 and 332,779 is: 511,817.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,370 : 332,779 = 332,779 : x
  2. Step 2: Convert to fraction form
    216,370/332,779 = 332,779/x
  3. Step 3: Cross multiply
    216,370x = 332,779 × 332,779
  4. Step 4: Simplify right side
    216,370x = 110,741,862,841
  5. Step 5: Solve for x
    x = 110,741,862,841/216,370
  6. Step 6: Final answer
    x = 511,817.09

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.