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Finding the Third Proportional to 315,128 and 691,479

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Solution

The third proportional to 315,128 and 691,479 is: 1,517,298.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,128 : 691,479 = 691,479 : x
  2. Step 2: Convert to fraction form
    315,128/691,479 = 691,479/x
  3. Step 3: Cross multiply
    315,128x = 691,479 × 691,479
  4. Step 4: Simplify right side
    315,128x = 478,143,207,441
  5. Step 5: Solve for x
    x = 478,143,207,441/315,128
  6. Step 6: Final answer
    x = 1,517,298.39

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.