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Finding the Third Proportional to 80,190,864 and 122,166,264

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Solution

The third proportional to 80,190,864 and 122,166,264 is: 186,113,421.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,190,864 : 122,166,264 = 122,166,264 : x
  2. Step 2: Convert to fraction form
    80,190,864/122,166,264 = 122,166,264/x
  3. Step 3: Cross multiply
    80,190,864x = 122,166,264 × 122,166,264
  4. Step 4: Simplify right side
    80,190,864x = 14,924,596,059,717,696
  5. Step 5: Solve for x
    x = 14,924,596,059,717,696/80,190,864
  6. Step 6: Final answer
    x = 186,113,421.35

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.