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Finding the Third Proportional to 310,662 and 691,309

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Solution

The third proportional to 310,662 and 691,309 is: 1,538,354.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,662 : 691,309 = 691,309 : x
  2. Step 2: Convert to fraction form
    310,662/691,309 = 691,309/x
  3. Step 3: Cross multiply
    310,662x = 691,309 × 691,309
  4. Step 4: Simplify right side
    310,662x = 477,908,133,481
  5. Step 5: Solve for x
    x = 477,908,133,481/310,662
  6. Step 6: Final answer
    x = 1,538,354.01

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.