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Finding the Third Proportional to 316,984 and 690,832

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Solution

The third proportional to 316,984 and 690,832 is: 1,505,592.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,984 : 690,832 = 690,832 : x
  2. Step 2: Convert to fraction form
    316,984/690,832 = 690,832/x
  3. Step 3: Cross multiply
    316,984x = 690,832 × 690,832
  4. Step 4: Simplify right side
    316,984x = 477,248,852,224
  5. Step 5: Solve for x
    x = 477,248,852,224/316,984
  6. Step 6: Final answer
    x = 1,505,592.88

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.