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Finding the Third Proportional to 310,290 and 640,506

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Solution

The third proportional to 310,290 and 640,506 is: 1,322,143.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,290 : 640,506 = 640,506 : x
  2. Step 2: Convert to fraction form
    310,290/640,506 = 640,506/x
  3. Step 3: Cross multiply
    310,290x = 640,506 × 640,506
  4. Step 4: Simplify right side
    310,290x = 410,247,936,036
  5. Step 5: Solve for x
    x = 410,247,936,036/310,290
  6. Step 6: Final answer
    x = 1,322,143.59

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.