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Finding the Third Proportional to 120,912,412,092 and 262,377,497,856

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Solution

The third proportional to 120,912,412,092 and 262,377,497,856 is: 569,353,883,444.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,912,412,092 : 262,377,497,856 = 262,377,497,856 : x
  2. Step 2: Convert to fraction form
    120,912,412,092/262,377,497,856 = 262,377,497,856/x
  3. Step 3: Cross multiply
    120,912,412,092x = 262,377,497,856 × 262,377,497,856
  4. Step 4: Simplify right side
    120,912,412,092x = 68,841,951,381,175,287,152,640
  5. Step 5: Solve for x
    x = 68,841,951,381,175,287,152,640/120,912,412,092
  6. Step 6: Final answer
    x = 569,353,883,444.11

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.