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Finding the Third Proportional to 83,724,924,532 and 128,691,211,758

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Solution

The third proportional to 83,724,924,532 and 128,691,211,758 is: 197,807,619,132.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,724,924,532 : 128,691,211,758 = 128,691,211,758 : x
  2. Step 2: Convert to fraction form
    83,724,924,532/128,691,211,758 = 128,691,211,758/x
  3. Step 3: Cross multiply
    83,724,924,532x = 128,691,211,758 × 128,691,211,758
  4. Step 4: Simplify right side
    83,724,924,532x = 16,561,427,983,742,397,317,120
  5. Step 5: Solve for x
    x = 16,561,427,983,742,397,317,120/83,724,924,532
  6. Step 6: Final answer
    x = 197,807,619,132.73

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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.