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Finding the Third Proportional to 221,427 and 477,859.50

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Solution

The third proportional to 221,427 and 477,859.50 is: 1,031,264.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,427 : 477,859.50 = 477,859.50 : x
  2. Step 2: Convert to fraction form
    221,427/477,859.50 = 477,859.50/x
  3. Step 3: Cross multiply
    221,427x = 477,859.50 × 477,859.50
  4. Step 4: Simplify right side
    221,427x = 228,349,701,740.25
  5. Step 5: Solve for x
    x = 228,349,701,740.25/221,427
  6. Step 6: Final answer
    x = 1,031,264.04

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.