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Finding the Third Proportional to 220,808.25 and 478,957.50

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Solution

The third proportional to 220,808.25 and 478,957.50 is: 1,038,911.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,808.25 : 478,957.50 = 478,957.50 : x
  2. Step 2: Convert to fraction form
    220,808.25/478,957.50 = 478,957.50/x
  3. Step 3: Cross multiply
    220,808.25x = 478,957.50 × 478,957.50
  4. Step 4: Simplify right side
    220,808.25x = 229,400,286,806.25
  5. Step 5: Solve for x
    x = 229,400,286,806.25/220,808.25
  6. Step 6: Final answer
    x = 1,038,911.76

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.