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Finding the Third Proportional to 315,176 and 691,584

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Solution

The third proportional to 315,176 and 691,584 is: 1,517,528.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,176 : 691,584 = 691,584 : x
  2. Step 2: Convert to fraction form
    315,176/691,584 = 691,584/x
  3. Step 3: Cross multiply
    315,176x = 691,584 × 691,584
  4. Step 4: Simplify right side
    315,176x = 478,288,429,056
  5. Step 5: Solve for x
    x = 478,288,429,056/315,176
  6. Step 6: Final answer
    x = 1,517,528.08

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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.