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Finding the Third Proportional to 310,432 and 492,378

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Solution

The third proportional to 310,432 and 492,378 is: 780,963.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,432 : 492,378 = 492,378 : x
  2. Step 2: Convert to fraction form
    310,432/492,378 = 492,378/x
  3. Step 3: Cross multiply
    310,432x = 492,378 × 492,378
  4. Step 4: Simplify right side
    310,432x = 242,436,094,884
  5. Step 5: Solve for x
    x = 242,436,094,884/310,432
  6. Step 6: Final answer
    x = 780,963.61

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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.