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Finding the Third Proportional to 103,622 and 221,464

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Solution

The third proportional to 103,622 and 221,464 is: 473,319.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,622 : 221,464 = 221,464 : x
  2. Step 2: Convert to fraction form
    103,622/221,464 = 221,464/x
  3. Step 3: Cross multiply
    103,622x = 221,464 × 221,464
  4. Step 4: Simplify right side
    103,622x = 49,046,303,296
  5. Step 5: Solve for x
    x = 49,046,303,296/103,622
  6. Step 6: Final answer
    x = 473,319.40

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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.