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Finding the Third Proportional to 317,206.13 and 485,855.72

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Solution

The third proportional to 317,206.13 and 485,855.72 is: 744,171.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,206.13 : 485,855.72 = 485,855.72 : x
  2. Step 2: Convert to fraction form
    317,206.13/485,855.72 = 485,855.72/x
  3. Step 3: Cross multiply
    317,206.13x = 485,855.72 × 485,855.72
  4. Step 4: Simplify right side
    317,206.13x = 236,055,779,442.08
  5. Step 5: Solve for x
    x = 236,055,779,442.08/317,206.13
  6. Step 6: Final answer
    x = 744,171.57

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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.