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Finding the Third Proportional to 317,443.50 and 491,730.75

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Solution

The third proportional to 317,443.50 and 491,730.75 is: 761,707.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,443.50 : 491,730.75 = 491,730.75 : x
  2. Step 2: Convert to fraction form
    317,443.50/491,730.75 = 491,730.75/x
  3. Step 3: Cross multiply
    317,443.50x = 491,730.75 × 491,730.75
  4. Step 4: Simplify right side
    317,443.50x = 241,799,130,495.56
  5. Step 5: Solve for x
    x = 241,799,130,495.56/317,443.50
  6. Step 6: Final answer
    x = 761,707.61

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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.