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Finding the Third Proportional to 42,660,288 and 68,697,120

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Solution

The third proportional to 42,660,288 and 68,697,120 is: 110,624,998.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,660,288 : 68,697,120 = 68,697,120 : x
  2. Step 2: Convert to fraction form
    42,660,288/68,697,120 = 68,697,120/x
  3. Step 3: Cross multiply
    42,660,288x = 68,697,120 × 68,697,120
  4. Step 4: Simplify right side
    42,660,288x = 4,719,294,296,294,400
  5. Step 5: Solve for x
    x = 4,719,294,296,294,400/42,660,288
  6. Step 6: Final answer
    x = 110,624,998.51

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.