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Finding the Third Proportional to 315,440 and 691,951

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Solution

The third proportional to 315,440 and 691,951 is: 1,517,867.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,440 : 691,951 = 691,951 : x
  2. Step 2: Convert to fraction form
    315,440/691,951 = 691,951/x
  3. Step 3: Cross multiply
    315,440x = 691,951 × 691,951
  4. Step 4: Simplify right side
    315,440x = 478,796,186,401
  5. Step 5: Solve for x
    x = 478,796,186,401/315,440
  6. Step 6: Final answer
    x = 1,517,867.70

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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.