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Finding the Third Proportional to 315,091 and 691,413

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Solution

The third proportional to 315,091 and 691,413 is: 1,517,186.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,091 : 691,413 = 691,413 : x
  2. Step 2: Convert to fraction form
    315,091/691,413 = 691,413/x
  3. Step 3: Cross multiply
    315,091x = 691,413 × 691,413
  4. Step 4: Simplify right side
    315,091x = 478,051,936,569
  5. Step 5: Solve for x
    x = 478,051,936,569/315,091
  6. Step 6: Final answer
    x = 1,517,186.90

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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.