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Finding the Third Proportional to 310,434 and 492,381

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Solution

The third proportional to 310,434 and 492,381 is: 780,968.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,434 : 492,381 = 492,381 : x
  2. Step 2: Convert to fraction form
    310,434/492,381 = 492,381/x
  3. Step 3: Cross multiply
    310,434x = 492,381 × 492,381
  4. Step 4: Simplify right side
    310,434x = 242,439,049,161
  5. Step 5: Solve for x
    x = 242,439,049,161/310,434
  6. Step 6: Final answer
    x = 780,968.09

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.