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Finding the Third Proportional to 315,260 and 691,768

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Solution

The third proportional to 315,260 and 691,768 is: 1,517,931.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,260 : 691,768 = 691,768 : x
  2. Step 2: Convert to fraction form
    315,260/691,768 = 691,768/x
  3. Step 3: Cross multiply
    315,260x = 691,768 × 691,768
  4. Step 4: Simplify right side
    315,260x = 478,542,965,824
  5. Step 5: Solve for x
    x = 478,542,965,824/315,260
  6. Step 6: Final answer
    x = 1,517,931.12

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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.