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Finding the Third Proportional to 194,754 and 308,120

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Solution

The third proportional to 194,754 and 308,120 is: 487,476.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,754 : 308,120 = 308,120 : x
  2. Step 2: Convert to fraction form
    194,754/308,120 = 308,120/x
  3. Step 3: Cross multiply
    194,754x = 308,120 × 308,120
  4. Step 4: Simplify right side
    194,754x = 94,937,934,400
  5. Step 5: Solve for x
    x = 94,937,934,400/194,754
  6. Step 6: Final answer
    x = 487,476.17

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.