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Finding the Third Proportional to 217,259.44 and 318,111.75

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Solution

The third proportional to 217,259.44 and 318,111.75 is: 465,779.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,259.44 : 318,111.75 = 318,111.75 : x
  2. Step 2: Convert to fraction form
    217,259.44/318,111.75 = 318,111.75/x
  3. Step 3: Cross multiply
    217,259.44x = 318,111.75 × 318,111.75
  4. Step 4: Simplify right side
    217,259.44x = 101,195,085,488.06
  5. Step 5: Solve for x
    x = 101,195,085,488.06/217,259.44
  6. Step 6: Final answer
    x = 465,779.93

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.