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Finding the Third Proportional to 315,033.75 and 691,299

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Solution

The third proportional to 315,033.75 and 691,299 is: 1,516,962.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,033.75 : 691,299 = 691,299 : x
  2. Step 2: Convert to fraction form
    315,033.75/691,299 = 691,299/x
  3. Step 3: Cross multiply
    315,033.75x = 691,299 × 691,299
  4. Step 4: Simplify right side
    315,033.75x = 477,894,307,401
  5. Step 5: Solve for x
    x = 477,894,307,401/315,033.75
  6. Step 6: Final answer
    x = 1,516,962.25

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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.