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Finding the Third Proportional to 315,992 and 684,464

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Solution

The third proportional to 315,992 and 684,464 is: 1,482,603.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,992 : 684,464 = 684,464 : x
  2. Step 2: Convert to fraction form
    315,992/684,464 = 684,464/x
  3. Step 3: Cross multiply
    315,992x = 684,464 × 684,464
  4. Step 4: Simplify right side
    315,992x = 468,490,967,296
  5. Step 5: Solve for x
    x = 468,490,967,296/315,992
  6. Step 6: Final answer
    x = 1,482,603.89

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.