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Finding the Third Proportional to 123,327,678,728 and 196,238,581,122

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Solution

The third proportional to 123,327,678,728 and 196,238,581,122 is: 312,254,159,957.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,327,678,728 : 196,238,581,122 = 196,238,581,122 : x
  2. Step 2: Convert to fraction form
    123,327,678,728/196,238,581,122 = 196,238,581,122/x
  3. Step 3: Cross multiply
    123,327,678,728x = 196,238,581,122 × 196,238,581,122
  4. Step 4: Simplify right side
    123,327,678,728x = 38,509,580,720,775,777,746,944
  5. Step 5: Solve for x
    x = 38,509,580,720,775,777,746,944/123,327,678,728
  6. Step 6: Final answer
    x = 312,254,159,957.95

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.