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Finding the Third Proportional to 310,414 and 492,352

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Solution

The third proportional to 310,414 and 492,352 is: 780,926.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,414 : 492,352 = 492,352 : x
  2. Step 2: Convert to fraction form
    310,414/492,352 = 492,352/x
  3. Step 3: Cross multiply
    310,414x = 492,352 × 492,352
  4. Step 4: Simplify right side
    310,414x = 242,410,491,904
  5. Step 5: Solve for x
    x = 242,410,491,904/310,414
  6. Step 6: Final answer
    x = 780,926.41

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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.