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Finding the Third Proportional to 120,830,776 and 178,981,138

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Solution

The third proportional to 120,830,776 and 178,981,138 is: 265,116,626.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,830,776 : 178,981,138 = 178,981,138 : x
  2. Step 2: Convert to fraction form
    120,830,776/178,981,138 = 178,981,138/x
  3. Step 3: Cross multiply
    120,830,776x = 178,981,138 × 178,981,138
  4. Step 4: Simplify right side
    120,830,776x = 32,034,247,759,775,044
  5. Step 5: Solve for x
    x = 32,034,247,759,775,044/120,830,776
  6. Step 6: Final answer
    x = 265,116,626.91

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.