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Finding the Third Proportional to 78,100,944 and 162,666,192

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Solution

The third proportional to 78,100,944 and 162,666,192 is: 338,796,033.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,100,944 : 162,666,192 = 162,666,192 : x
  2. Step 2: Convert to fraction form
    78,100,944/162,666,192 = 162,666,192/x
  3. Step 3: Cross multiply
    78,100,944x = 162,666,192 × 162,666,192
  4. Step 4: Simplify right side
    78,100,944x = 26,460,290,019,780,864
  5. Step 5: Solve for x
    x = 26,460,290,019,780,864/78,100,944
  6. Step 6: Final answer
    x = 338,796,033.24

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.