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Finding the Third Proportional to 138,642,064 and 193,820,184

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Solution

The third proportional to 138,642,064 and 193,820,184 is: 270,958,630.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,642,064 : 193,820,184 = 193,820,184 : x
  2. Step 2: Convert to fraction form
    138,642,064/193,820,184 = 193,820,184/x
  3. Step 3: Cross multiply
    138,642,064x = 193,820,184 × 193,820,184
  4. Step 4: Simplify right side
    138,642,064x = 37,566,263,725,793,856
  5. Step 5: Solve for x
    x = 37,566,263,725,793,856/138,642,064
  6. Step 6: Final answer
    x = 270,958,630.03

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.