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Finding the Third Proportional to 103,950.84 and 224,492.13

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Solution

The third proportional to 103,950.84 and 224,492.13 is: 484,812.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,950.84 : 224,492.13 = 224,492.13 : x
  2. Step 2: Convert to fraction form
    103,950.84/224,492.13 = 224,492.13/x
  3. Step 3: Cross multiply
    103,950.84x = 224,492.13 × 224,492.13
  4. Step 4: Simplify right side
    103,950.84x = 50,396,717,694.71
  5. Step 5: Solve for x
    x = 50,396,717,694.71/103,950.84
  6. Step 6: Final answer
    x = 484,812.97

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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.