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Finding the Third Proportional to 290,188.13 and 443,868.38

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Solution

The third proportional to 290,188.13 and 443,868.38 is: 678,935.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,188.13 : 443,868.38 = 443,868.38 : x
  2. Step 2: Convert to fraction form
    290,188.13/443,868.38 = 443,868.38/x
  3. Step 3: Cross multiply
    290,188.13x = 443,868.38 × 443,868.38
  4. Step 4: Simplify right side
    290,188.13x = 197,019,134,325.14
  5. Step 5: Solve for x
    x = 197,019,134,325.14/290,188.13
  6. Step 6: Final answer
    x = 678,935.89

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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.