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Finding the Third Proportional to 66,822.89 and 139,174.45

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Solution

The third proportional to 66,822.89 and 139,174.45 is: 289,863.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,822.89 : 139,174.45 = 139,174.45 : x
  2. Step 2: Convert to fraction form
    66,822.89/139,174.45 = 139,174.45/x
  3. Step 3: Cross multiply
    66,822.89x = 139,174.45 × 139,174.45
  4. Step 4: Simplify right side
    66,822.89x = 19,369,528,402.64
  5. Step 5: Solve for x
    x = 19,369,528,402.64/66,822.89
  6. Step 6: Final answer
    x = 289,863.67

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.