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Finding the Third Proportional to 78,105,740 and 167,965,708

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Solution

The third proportional to 78,105,740 and 167,965,708 is: 361,208,780.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,105,740 : 167,965,708 = 167,965,708 : x
  2. Step 2: Convert to fraction form
    78,105,740/167,965,708 = 167,965,708/x
  3. Step 3: Cross multiply
    78,105,740x = 167,965,708 × 167,965,708
  4. Step 4: Simplify right side
    78,105,740x = 28,212,479,063,941,264
  5. Step 5: Solve for x
    x = 28,212,479,063,941,264/78,105,740
  6. Step 6: Final answer
    x = 361,208,780.10

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.