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Finding the Third Proportional to 216,853.50 and 338,395.50

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Solution

The third proportional to 216,853.50 and 338,395.50 is: 528,059.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,853.50 : 338,395.50 = 338,395.50 : x
  2. Step 2: Convert to fraction form
    216,853.50/338,395.50 = 338,395.50/x
  3. Step 3: Cross multiply
    216,853.50x = 338,395.50 × 338,395.50
  4. Step 4: Simplify right side
    216,853.50x = 114,511,514,420.25
  5. Step 5: Solve for x
    x = 114,511,514,420.25/216,853.50
  6. Step 6: Final answer
    x = 528,059.33

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.