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Finding the Third Proportional to 317,120.06 and 485,726.63

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Solution

The third proportional to 317,120.06 and 485,726.63 is: 743,978.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,120.06 : 485,726.63 = 485,726.63 : x
  2. Step 2: Convert to fraction form
    317,120.06/485,726.63 = 485,726.63/x
  3. Step 3: Cross multiply
    317,120.06x = 485,726.63 × 485,726.63
  4. Step 4: Simplify right side
    317,120.06x = 235,930,354,233.89
  5. Step 5: Solve for x
    x = 235,930,354,233.89/317,120.06
  6. Step 6: Final answer
    x = 743,978.01

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.