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Finding the Third Proportional to 138,405,816 and 294,701,292

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Solution

The third proportional to 138,405,816 and 294,701,292 is: 627,494,234.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,405,816 : 294,701,292 = 294,701,292 : x
  2. Step 2: Convert to fraction form
    138,405,816/294,701,292 = 294,701,292/x
  3. Step 3: Cross multiply
    138,405,816x = 294,701,292 × 294,701,292
  4. Step 4: Simplify right side
    138,405,816x = 86,848,851,506,469,264
  5. Step 5: Solve for x
    x = 86,848,851,506,469,264/138,405,816
  6. Step 6: Final answer
    x = 627,494,234.10

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.