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Finding the Third Proportional to 133,076 and 194,646

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Solution

The third proportional to 133,076 and 194,646 is: 284,702.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,076 : 194,646 = 194,646 : x
  2. Step 2: Convert to fraction form
    133,076/194,646 = 194,646/x
  3. Step 3: Cross multiply
    133,076x = 194,646 × 194,646
  4. Step 4: Simplify right side
    133,076x = 37,887,065,316
  5. Step 5: Solve for x
    x = 37,887,065,316/133,076
  6. Step 6: Final answer
    x = 284,702.47

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.