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Finding the Third Proportional to 310,420 and 492,356

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Solution

The third proportional to 310,420 and 492,356 is: 780,924.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,420 : 492,356 = 492,356 : x
  2. Step 2: Convert to fraction form
    310,420/492,356 = 492,356/x
  3. Step 3: Cross multiply
    310,420x = 492,356 × 492,356
  4. Step 4: Simplify right side
    310,420x = 242,414,430,736
  5. Step 5: Solve for x
    x = 242,414,430,736/310,420
  6. Step 6: Final answer
    x = 780,924.01

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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.