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Finding the Third Proportional to 310,282 and 668,060

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Solution

The third proportional to 310,282 and 668,060 is: 1,438,382.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,282 : 668,060 = 668,060 : x
  2. Step 2: Convert to fraction form
    310,282/668,060 = 668,060/x
  3. Step 3: Cross multiply
    310,282x = 668,060 × 668,060
  4. Step 4: Simplify right side
    310,282x = 446,304,163,600
  5. Step 5: Solve for x
    x = 446,304,163,600/310,282
  6. Step 6: Final answer
    x = 1,438,382.39

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.