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Finding the Third Proportional to 315,022 and 691,283

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Solution

The third proportional to 315,022 and 691,283 is: 1,516,948.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,022 : 691,283 = 691,283 : x
  2. Step 2: Convert to fraction form
    315,022/691,283 = 691,283/x
  3. Step 3: Cross multiply
    315,022x = 691,283 × 691,283
  4. Step 4: Simplify right side
    315,022x = 477,872,186,089
  5. Step 5: Solve for x
    x = 477,872,186,089/315,022
  6. Step 6: Final answer
    x = 1,516,948.61

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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.