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Finding the Third Proportional to 315,569 and 688,962

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Solution

The third proportional to 315,569 and 688,962 is: 1,504,167.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,569 : 688,962 = 688,962 : x
  2. Step 2: Convert to fraction form
    315,569/688,962 = 688,962/x
  3. Step 3: Cross multiply
    315,569x = 688,962 × 688,962
  4. Step 4: Simplify right side
    315,569x = 474,668,637,444
  5. Step 5: Solve for x
    x = 474,668,637,444/315,569
  6. Step 6: Final answer
    x = 1,504,167.51

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.