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Finding the Third Proportional to 146,164 and 315,643

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Solution

The third proportional to 146,164 and 315,643 is: 681,635.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,164 : 315,643 = 315,643 : x
  2. Step 2: Convert to fraction form
    146,164/315,643 = 315,643/x
  3. Step 3: Cross multiply
    146,164x = 315,643 × 315,643
  4. Step 4: Simplify right side
    146,164x = 99,630,503,449
  5. Step 5: Solve for x
    x = 99,630,503,449/146,164
  6. Step 6: Final answer
    x = 681,635.04

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.