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Finding the Third Proportional to 447,861 and 671,511

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Solution

The third proportional to 447,861 and 671,511 is: 1,006,845.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,861 : 671,511 = 671,511 : x
  2. Step 2: Convert to fraction form
    447,861/671,511 = 671,511/x
  3. Step 3: Cross multiply
    447,861x = 671,511 × 671,511
  4. Step 4: Simplify right side
    447,861x = 450,927,023,121
  5. Step 5: Solve for x
    x = 450,927,023,121/447,861
  6. Step 6: Final answer
    x = 1,006,845.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.