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Finding the Third Proportional to 320,827 and 448,523

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Solution

The third proportional to 320,827 and 448,523 is: 627,044.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,827 : 448,523 = 448,523 : x
  2. Step 2: Convert to fraction form
    320,827/448,523 = 448,523/x
  3. Step 3: Cross multiply
    320,827x = 448,523 × 448,523
  4. Step 4: Simplify right side
    320,827x = 201,172,881,529
  5. Step 5: Solve for x
    x = 201,172,881,529/320,827
  6. Step 6: Final answer
    x = 627,044.74

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.