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Finding the Third Proportional to 99,776.81 and 210,792.38

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Solution

The third proportional to 99,776.81 and 210,792.38 is: 445,328.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,776.81 : 210,792.38 = 210,792.38 : x
  2. Step 2: Convert to fraction form
    99,776.81/210,792.38 = 210,792.38/x
  3. Step 3: Cross multiply
    99,776.81x = 210,792.38 × 210,792.38
  4. Step 4: Simplify right side
    99,776.81x = 44,433,425,358.14
  5. Step 5: Solve for x
    x = 44,433,425,358.14/99,776.81
  6. Step 6: Final answer
    x = 445,328.17

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.