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Finding the Third Proportional to 80,297,384,801 and 121,480,501,677

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Solution

The third proportional to 80,297,384,801 and 121,480,501,677 is: 183,785,715,117.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,297,384,801 : 121,480,501,677 = 121,480,501,677 : x
  2. Step 2: Convert to fraction form
    80,297,384,801/121,480,501,677 = 121,480,501,677/x
  3. Step 3: Cross multiply
    80,297,384,801x = 121,480,501,677 × 121,480,501,677
  4. Step 4: Simplify right side
    80,297,384,801x = 14,757,512,287,695,600,091,136
  5. Step 5: Solve for x
    x = 14,757,512,287,695,600,091,136/80,297,384,801
  6. Step 6: Final answer
    x = 183,785,715,117.24

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.