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Finding the Third Proportional to 178,305,247.13 and 388,264,960.50

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Solution

The third proportional to 178,305,247.13 and 388,264,960.50 is: 845,458,459.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,305,247.13 : 388,264,960.50 = 388,264,960.50 : x
  2. Step 2: Convert to fraction form
    178,305,247.13/388,264,960.50 = 388,264,960.50/x
  3. Step 3: Cross multiply
    178,305,247.13x = 388,264,960.50 × 388,264,960.50
  4. Step 4: Simplify right side
    178,305,247.13x = 150,749,679,552,066,560
  5. Step 5: Solve for x
    x = 150,749,679,552,066,560/178,305,247.13
  6. Step 6: Final answer
    x = 845,458,459.48

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.