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Finding the Third Proportional to 73,908,204,462 and 151,734,498,153

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Solution

The third proportional to 73,908,204,462 and 151,734,498,153 is: 311,512,884,088.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,908,204,462 : 151,734,498,153 = 151,734,498,153 : x
  2. Step 2: Convert to fraction form
    73,908,204,462/151,734,498,153 = 151,734,498,153/x
  3. Step 3: Cross multiply
    73,908,204,462x = 151,734,498,153 × 151,734,498,153
  4. Step 4: Simplify right side
    73,908,204,462x = 23,023,357,929,742,762,246,144
  5. Step 5: Solve for x
    x = 23,023,357,929,742,762,246,144/73,908,204,462
  6. Step 6: Final answer
    x = 311,512,884,088.27

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.