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Finding the Third Proportional to 310,974 and 649,566

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Solution

The third proportional to 310,974 and 649,566 is: 1,356,820.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,974 : 649,566 = 649,566 : x
  2. Step 2: Convert to fraction form
    310,974/649,566 = 649,566/x
  3. Step 3: Cross multiply
    310,974x = 649,566 × 649,566
  4. Step 4: Simplify right side
    310,974x = 421,935,988,356
  5. Step 5: Solve for x
    x = 421,935,988,356/310,974
  6. Step 6: Final answer
    x = 1,356,820.79

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.