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Finding the Third Proportional to 69,137,560 and 148,993,684

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Solution

The third proportional to 69,137,560 and 148,993,684 is: 321,086,221.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,137,560 : 148,993,684 = 148,993,684 : x
  2. Step 2: Convert to fraction form
    69,137,560/148,993,684 = 148,993,684/x
  3. Step 3: Cross multiply
    69,137,560x = 148,993,684 × 148,993,684
  4. Step 4: Simplify right side
    69,137,560x = 22,199,117,871,891,856
  5. Step 5: Solve for x
    x = 22,199,117,871,891,856/69,137,560
  6. Step 6: Final answer
    x = 321,086,221.03

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.