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Finding the Third Proportional to 83,724,924,549 and 128,691,211,783

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Solution

The third proportional to 83,724,924,549 and 128,691,211,783 is: 197,807,619,169.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,724,924,549 : 128,691,211,783 = 128,691,211,783 : x
  2. Step 2: Convert to fraction form
    83,724,924,549/128,691,211,783 = 128,691,211,783/x
  3. Step 3: Cross multiply
    83,724,924,549x = 128,691,211,783 × 128,691,211,783
  4. Step 4: Simplify right side
    83,724,924,549x = 16,561,427,990,176,958,775,296
  5. Step 5: Solve for x
    x = 16,561,427,990,176,958,775,296/83,724,924,549
  6. Step 6: Final answer
    x = 197,807,619,169.42

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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.