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Finding the Third Proportional to 315,089 and 691,409

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Solution

The third proportional to 315,089 and 691,409 is: 1,517,178.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,089 : 691,409 = 691,409 : x
  2. Step 2: Convert to fraction form
    315,089/691,409 = 691,409/x
  3. Step 3: Cross multiply
    315,089x = 691,409 × 691,409
  4. Step 4: Simplify right side
    315,089x = 478,046,405,281
  5. Step 5: Solve for x
    x = 478,046,405,281/315,089
  6. Step 6: Final answer
    x = 1,517,178.97

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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.