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Finding the Third Proportional to 78,100,563 and 162,665,462

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Solution

The third proportional to 78,100,563 and 162,665,462 is: 338,794,645.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,100,563 : 162,665,462 = 162,665,462 : x
  2. Step 2: Convert to fraction form
    78,100,563/162,665,462 = 162,665,462/x
  3. Step 3: Cross multiply
    78,100,563x = 162,665,462 × 162,665,462
  4. Step 4: Simplify right side
    78,100,563x = 26,460,052,527,673,444
  5. Step 5: Solve for x
    x = 26,460,052,527,673,444/78,100,563
  6. Step 6: Final answer
    x = 338,794,645.15

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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.