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Finding the Third Proportional to 310,914 and 645,192

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Solution

The third proportional to 310,914 and 645,192 is: 1,338,867.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,914 : 645,192 = 645,192 : x
  2. Step 2: Convert to fraction form
    310,914/645,192 = 645,192/x
  3. Step 3: Cross multiply
    310,914x = 645,192 × 645,192
  4. Step 4: Simplify right side
    310,914x = 416,272,716,864
  5. Step 5: Solve for x
    x = 416,272,716,864/310,914
  6. Step 6: Final answer
    x = 1,338,867.72

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.