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Finding the Third Proportional to 91,000.13 and 139,674.38

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Solution

The third proportional to 91,000.13 and 139,674.38 is: 214,383.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,000.13 : 139,674.38 = 139,674.38 : x
  2. Step 2: Convert to fraction form
    91,000.13/139,674.38 = 139,674.38/x
  3. Step 3: Cross multiply
    91,000.13x = 139,674.38 × 139,674.38
  4. Step 4: Simplify right side
    91,000.13x = 19,508,931,031.64
  5. Step 5: Solve for x
    x = 19,508,931,031.64/91,000.13
  6. Step 6: Final answer
    x = 214,383.56

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.