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Finding the Third Proportional to 221,001.75 and 477,218.25

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Solution

The third proportional to 221,001.75 and 477,218.25 is: 1,030,477.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,001.75 : 477,218.25 = 477,218.25 : x
  2. Step 2: Convert to fraction form
    221,001.75/477,218.25 = 477,218.25/x
  3. Step 3: Cross multiply
    221,001.75x = 477,218.25 × 477,218.25
  4. Step 4: Simplify right side
    221,001.75x = 227,737,258,133.06
  5. Step 5: Solve for x
    x = 227,737,258,133.06/221,001.75
  6. Step 6: Final answer
    x = 1,030,477.17

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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.