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Finding the Third Proportional to 83,724,924,548 and 128,691,211,782

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Solution

The third proportional to 83,724,924,548 and 128,691,211,782 is: 197,807,619,168.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,724,924,548 : 128,691,211,782 = 128,691,211,782 : x
  2. Step 2: Convert to fraction form
    83,724,924,548/128,691,211,782 = 128,691,211,782/x
  3. Step 3: Cross multiply
    83,724,924,548x = 128,691,211,782 × 128,691,211,782
  4. Step 4: Simplify right side
    83,724,924,548x = 16,561,427,989,919,575,310,336
  5. Step 5: Solve for x
    x = 16,561,427,989,919,575,310,336/83,724,924,548
  6. Step 6: Final answer
    x = 197,807,619,168.71

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.