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Finding the Third Proportional to 80,538,101,145 and 121,143,398,229

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Solution

The third proportional to 80,538,101,145 and 121,143,398,229 is: 182,220,870,939.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,538,101,145 : 121,143,398,229 = 121,143,398,229 : x
  2. Step 2: Convert to fraction form
    80,538,101,145/121,143,398,229 = 121,143,398,229/x
  3. Step 3: Cross multiply
    80,538,101,145x = 121,143,398,229 × 121,143,398,229
  4. Step 4: Simplify right side
    80,538,101,145x = 14,675,722,934,470,081,249,280
  5. Step 5: Solve for x
    x = 14,675,722,934,470,081,249,280/80,538,101,145
  6. Step 6: Final answer
    x = 182,220,870,939.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.