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Finding the Third Proportional to 317,740 and 491,538

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Solution

The third proportional to 317,740 and 491,538 is: 760,400.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,740 : 491,538 = 491,538 : x
  2. Step 2: Convert to fraction form
    317,740/491,538 = 491,538/x
  3. Step 3: Cross multiply
    317,740x = 491,538 × 491,538
  4. Step 4: Simplify right side
    317,740x = 241,609,605,444
  5. Step 5: Solve for x
    x = 241,609,605,444/317,740
  6. Step 6: Final answer
    x = 760,400.34

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.