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Finding the Third Proportional to 315,292 and 691,901

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Solution

The third proportional to 315,292 and 691,901 is: 1,518,360.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,292 : 691,901 = 691,901 : x
  2. Step 2: Convert to fraction form
    315,292/691,901 = 691,901/x
  3. Step 3: Cross multiply
    315,292x = 691,901 × 691,901
  4. Step 4: Simplify right side
    315,292x = 478,726,993,801
  5. Step 5: Solve for x
    x = 478,726,993,801/315,292
  6. Step 6: Final answer
    x = 1,518,360.74

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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.