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Finding the Third Proportional to 104,560.50 and 229,132.50

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Solution

The third proportional to 104,560.50 and 229,132.50 is: 502,117.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,560.50 : 229,132.50 = 229,132.50 : x
  2. Step 2: Convert to fraction form
    104,560.50/229,132.50 = 229,132.50/x
  3. Step 3: Cross multiply
    104,560.50x = 229,132.50 × 229,132.50
  4. Step 4: Simplify right side
    104,560.50x = 52,501,702,556.25
  5. Step 5: Solve for x
    x = 52,501,702,556.25/104,560.50
  6. Step 6: Final answer
    x = 502,117.94

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.