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Finding the Third Proportional to 221,842.50 and 478,027.50

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Solution

The third proportional to 221,842.50 and 478,027.50 is: 1,030,056.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,842.50 : 478,027.50 = 478,027.50 : x
  2. Step 2: Convert to fraction form
    221,842.50/478,027.50 = 478,027.50/x
  3. Step 3: Cross multiply
    221,842.50x = 478,027.50 × 478,027.50
  4. Step 4: Simplify right side
    221,842.50x = 228,510,290,756.25
  5. Step 5: Solve for x
    x = 228,510,290,756.25/221,842.50
  6. Step 6: Final answer
    x = 1,030,056.42

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.