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Finding the Third Proportional to 94,645.78 and 202,423.69

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Solution

The third proportional to 94,645.78 and 202,423.69 is: 432,933.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,645.78 : 202,423.69 = 202,423.69 : x
  2. Step 2: Convert to fraction form
    94,645.78/202,423.69 = 202,423.69/x
  3. Step 3: Cross multiply
    94,645.78x = 202,423.69 × 202,423.69
  4. Step 4: Simplify right side
    94,645.78x = 40,975,349,261.10
  5. Step 5: Solve for x
    x = 40,975,349,261.10/94,645.78
  6. Step 6: Final answer
    x = 432,933.71

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.