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Finding the Third Proportional to 323,160 and 691,248

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Solution

The third proportional to 323,160 and 691,248 is: 1,478,598.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,160 : 691,248 = 691,248 : x
  2. Step 2: Convert to fraction form
    323,160/691,248 = 691,248/x
  3. Step 3: Cross multiply
    323,160x = 691,248 × 691,248
  4. Step 4: Simplify right side
    323,160x = 477,823,797,504
  5. Step 5: Solve for x
    x = 477,823,797,504/323,160
  6. Step 6: Final answer
    x = 1,478,598.21

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.