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Finding the Third Proportional to 102,487.78 and 223,627.50

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Solution

The third proportional to 102,487.78 and 223,627.50 is: 487,953.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,487.78 : 223,627.50 = 223,627.50 : x
  2. Step 2: Convert to fraction form
    102,487.78/223,627.50 = 223,627.50/x
  3. Step 3: Cross multiply
    102,487.78x = 223,627.50 × 223,627.50
  4. Step 4: Simplify right side
    102,487.78x = 50,009,258,756.25
  5. Step 5: Solve for x
    x = 50,009,258,756.25/102,487.78
  6. Step 6: Final answer
    x = 487,953.37

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.