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Finding the Third Proportional to 221,405 and 474,307

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Solution

The third proportional to 221,405 and 474,307 is: 1,016,088.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,405 : 474,307 = 474,307 : x
  2. Step 2: Convert to fraction form
    221,405/474,307 = 474,307/x
  3. Step 3: Cross multiply
    221,405x = 474,307 × 474,307
  4. Step 4: Simplify right side
    221,405x = 224,967,130,249
  5. Step 5: Solve for x
    x = 224,967,130,249/221,405
  6. Step 6: Final answer
    x = 1,016,088.75

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.