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Finding the Third Proportional to 310,880 and 687,107

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Solution

The third proportional to 310,880 and 687,107 is: 1,518,643.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,880 : 687,107 = 687,107 : x
  2. Step 2: Convert to fraction form
    310,880/687,107 = 687,107/x
  3. Step 3: Cross multiply
    310,880x = 687,107 × 687,107
  4. Step 4: Simplify right side
    310,880x = 472,116,029,449
  5. Step 5: Solve for x
    x = 472,116,029,449/310,880
  6. Step 6: Final answer
    x = 1,518,643.94

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.