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Finding the Third Proportional to 94,544 and 201,602

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Solution

The third proportional to 94,544 and 201,602 is: 429,888.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,544 : 201,602 = 201,602 : x
  2. Step 2: Convert to fraction form
    94,544/201,602 = 201,602/x
  3. Step 3: Cross multiply
    94,544x = 201,602 × 201,602
  4. Step 4: Simplify right side
    94,544x = 40,643,366,404
  5. Step 5: Solve for x
    x = 40,643,366,404/94,544
  6. Step 6: Final answer
    x = 429,888.37

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.