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Finding the Third Proportional to 311,784 and 671,643

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Solution

The third proportional to 311,784 and 671,643 is: 1,446,848.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,784 : 671,643 = 671,643 : x
  2. Step 2: Convert to fraction form
    311,784/671,643 = 671,643/x
  3. Step 3: Cross multiply
    311,784x = 671,643 × 671,643
  4. Step 4: Simplify right side
    311,784x = 451,104,319,449
  5. Step 5: Solve for x
    x = 451,104,319,449/311,784
  6. Step 6: Final answer
    x = 1,446,848.84

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.