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Finding the Third Proportional to 78,079,180.50 and 171,478,797.19

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Solution

The third proportional to 78,079,180.50 and 171,478,797.19 is: 376,604,591.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,079,180.50 : 171,478,797.19 = 171,478,797.19 : x
  2. Step 2: Convert to fraction form
    78,079,180.50/171,478,797.19 = 171,478,797.19/x
  3. Step 3: Cross multiply
    78,079,180.50x = 171,478,797.19 × 171,478,797.19
  4. Step 4: Simplify right side
    78,079,180.50x = 29,404,977,884,871,756
  5. Step 5: Solve for x
    x = 29,404,977,884,871,756/78,079,180.50
  6. Step 6: Final answer
    x = 376,604,591.60

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.