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Finding the Third Proportional to 68,054,376 and 149,335,680

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Solution

The third proportional to 68,054,376 and 149,335,680 is: 327,695,978.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,054,376 : 149,335,680 = 149,335,680 : x
  2. Step 2: Convert to fraction form
    68,054,376/149,335,680 = 149,335,680/x
  3. Step 3: Cross multiply
    68,054,376x = 149,335,680 × 149,335,680
  4. Step 4: Simplify right side
    68,054,376x = 22,301,145,321,062,400
  5. Step 5: Solve for x
    x = 22,301,145,321,062,400/68,054,376
  6. Step 6: Final answer
    x = 327,695,978.30

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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.