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Finding the Third Proportional to 63,132,361,122 and 137,378,560,980

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Solution

The third proportional to 63,132,361,122 and 137,378,560,980 is: 298,941,282,751.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,132,361,122 : 137,378,560,980 = 137,378,560,980 : x
  2. Step 2: Convert to fraction form
    63,132,361,122/137,378,560,980 = 137,378,560,980/x
  3. Step 3: Cross multiply
    63,132,361,122x = 137,378,560,980 × 137,378,560,980
  4. Step 4: Simplify right side
    63,132,361,122x = 18,872,869,016,935,579,254,784
  5. Step 5: Solve for x
    x = 18,872,869,016,935,579,254,784/63,132,361,122
  6. Step 6: Final answer
    x = 298,941,282,751.41

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.