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Finding the Third Proportional to 82,203,637.50 and 178,878,472.50

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Solution

The third proportional to 82,203,637.50 and 178,878,472.50 is: 389,246,861.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,203,637.50 : 178,878,472.50 = 178,878,472.50 : x
  2. Step 2: Convert to fraction form
    82,203,637.50/178,878,472.50 = 178,878,472.50/x
  3. Step 3: Cross multiply
    82,203,637.50x = 178,878,472.50 × 178,878,472.50
  4. Step 4: Simplify right side
    82,203,637.50x = 31,997,507,923,933,256
  5. Step 5: Solve for x
    x = 31,997,507,923,933,256/82,203,637.50
  6. Step 6: Final answer
    x = 389,246,861.78

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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.