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Finding the Third Proportional to 315,133 and 691,496

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Solution

The third proportional to 315,133 and 691,496 is: 1,517,348.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,133 : 691,496 = 691,496 : x
  2. Step 2: Convert to fraction form
    315,133/691,496 = 691,496/x
  3. Step 3: Cross multiply
    315,133x = 691,496 × 691,496
  4. Step 4: Simplify right side
    315,133x = 478,166,718,016
  5. Step 5: Solve for x
    x = 478,166,718,016/315,133
  6. Step 6: Final answer
    x = 1,517,348.92

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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.