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Finding the Third Proportional to 103,617 and 221,454

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Solution

The third proportional to 103,617 and 221,454 is: 473,299.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,617 : 221,454 = 221,454 : x
  2. Step 2: Convert to fraction form
    103,617/221,454 = 221,454/x
  3. Step 3: Cross multiply
    103,617x = 221,454 × 221,454
  4. Step 4: Simplify right side
    103,617x = 49,041,874,116
  5. Step 5: Solve for x
    x = 49,041,874,116/103,617
  6. Step 6: Final answer
    x = 473,299.50

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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.