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Finding the Third Proportional to 178,292,729.50 and 386,264,757

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Solution

The third proportional to 178,292,729.50 and 386,264,757 is: 836,828,640.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,292,729.50 : 386,264,757 = 386,264,757 : x
  2. Step 2: Convert to fraction form
    178,292,729.50/386,264,757 = 386,264,757/x
  3. Step 3: Cross multiply
    178,292,729.50x = 386,264,757 × 386,264,757
  4. Step 4: Simplify right side
    178,292,729.50x = 149,200,462,500,269,056
  5. Step 5: Solve for x
    x = 149,200,462,500,269,056/178,292,729.50
  6. Step 6: Final answer
    x = 836,828,640.85

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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.