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Finding the Third Proportional to 338,028 and 491,160

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Solution

The third proportional to 338,028 and 491,160 is: 713,663.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,028 : 491,160 = 491,160 : x
  2. Step 2: Convert to fraction form
    338,028/491,160 = 491,160/x
  3. Step 3: Cross multiply
    338,028x = 491,160 × 491,160
  4. Step 4: Simplify right side
    338,028x = 241,238,145,600
  5. Step 5: Solve for x
    x = 241,238,145,600/338,028
  6. Step 6: Final answer
    x = 713,663.20

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.