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Finding the Third Proportional to 317,811.09 and 471,218.77

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Solution

The third proportional to 317,811.09 and 471,218.77 is: 698,676.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,811.09 : 471,218.77 = 471,218.77 : x
  2. Step 2: Convert to fraction form
    317,811.09/471,218.77 = 471,218.77/x
  3. Step 3: Cross multiply
    317,811.09x = 471,218.77 × 471,218.77
  4. Step 4: Simplify right side
    317,811.09x = 222,047,125,077.15
  5. Step 5: Solve for x
    x = 222,047,125,077.15/317,811.09
  6. Step 6: Final answer
    x = 698,676.44

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.