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Finding the Third Proportional to 310,816 and 464,306

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Solution

The third proportional to 310,816 and 464,306 is: 693,593.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,816 : 464,306 = 464,306 : x
  2. Step 2: Convert to fraction form
    310,816/464,306 = 464,306/x
  3. Step 3: Cross multiply
    310,816x = 464,306 × 464,306
  4. Step 4: Simplify right side
    310,816x = 215,580,061,636
  5. Step 5: Solve for x
    x = 215,580,061,636/310,816
  6. Step 6: Final answer
    x = 693,593.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.