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Finding the Third Proportional to 40,802.06 and 86,502.94

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Solution

The third proportional to 40,802.06 and 86,502.94 is: 183,391.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,802.06 : 86,502.94 = 86,502.94 : x
  2. Step 2: Convert to fraction form
    40,802.06/86,502.94 = 86,502.94/x
  3. Step 3: Cross multiply
    40,802.06x = 86,502.94 × 86,502.94
  4. Step 4: Simplify right side
    40,802.06x = 7,482,758,196.13
  5. Step 5: Solve for x
    x = 7,482,758,196.13/40,802.06
  6. Step 6: Final answer
    x = 183,391.67

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.