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Finding the Third Proportional to 315,064 and 691,368

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Solution

The third proportional to 315,064 and 691,368 is: 1,517,119.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,064 : 691,368 = 691,368 : x
  2. Step 2: Convert to fraction form
    315,064/691,368 = 691,368/x
  3. Step 3: Cross multiply
    315,064x = 691,368 × 691,368
  4. Step 4: Simplify right side
    315,064x = 477,989,711,424
  5. Step 5: Solve for x
    x = 477,989,711,424/315,064
  6. Step 6: Final answer
    x = 1,517,119.42

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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.