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Finding the Third Proportional to 41,139,384.50 and 85,683,851.50

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Solution

The third proportional to 41,139,384.50 and 85,683,851.50 is: 178,459,704.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,139,384.50 : 85,683,851.50 = 85,683,851.50 : x
  2. Step 2: Convert to fraction form
    41,139,384.50/85,683,851.50 = 85,683,851.50/x
  3. Step 3: Cross multiply
    41,139,384.50x = 85,683,851.50 × 85,683,851.50
  4. Step 4: Simplify right side
    41,139,384.50x = 7,341,722,407,874,052
  5. Step 5: Solve for x
    x = 7,341,722,407,874,052/41,139,384.50
  6. Step 6: Final answer
    x = 178,459,704.66

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.