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Finding the Third Proportional to 69,821,317 and 148,153,540

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Solution

The third proportional to 69,821,317 and 148,153,540 is: 314,366,333.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,821,317 : 148,153,540 = 148,153,540 : x
  2. Step 2: Convert to fraction form
    69,821,317/148,153,540 = 148,153,540/x
  3. Step 3: Cross multiply
    69,821,317x = 148,153,540 × 148,153,540
  4. Step 4: Simplify right side
    69,821,317x = 21,949,471,414,531,600
  5. Step 5: Solve for x
    x = 21,949,471,414,531,600/69,821,317
  6. Step 6: Final answer
    x = 314,366,333.34

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.