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Finding the Third Proportional to 317,266.88 and 491,497.88

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Solution

The third proportional to 317,266.88 and 491,497.88 is: 761,409.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,266.88 : 491,497.88 = 491,497.88 : x
  2. Step 2: Convert to fraction form
    317,266.88/491,497.88 = 491,497.88/x
  3. Step 3: Cross multiply
    317,266.88x = 491,497.88 × 491,497.88
  4. Step 4: Simplify right side
    317,266.88x = 241,570,161,129.52
  5. Step 5: Solve for x
    x = 241,570,161,129.52/317,266.88
  6. Step 6: Final answer
    x = 761,409.97

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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.