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Finding the Third Proportional to 194,805 and 455,139

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Solution

The third proportional to 194,805 and 455,139 is: 1,063,378.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,805 : 455,139 = 455,139 : x
  2. Step 2: Convert to fraction form
    194,805/455,139 = 455,139/x
  3. Step 3: Cross multiply
    194,805x = 455,139 × 455,139
  4. Step 4: Simplify right side
    194,805x = 207,151,509,321
  5. Step 5: Solve for x
    x = 207,151,509,321/194,805
  6. Step 6: Final answer
    x = 1,063,378.81

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.