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Finding the Third Proportional to 68,158,134 and 102,946,836

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Solution

The third proportional to 68,158,134 and 102,946,836 is: 155,492,094.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,158,134 : 102,946,836 = 102,946,836 : x
  2. Step 2: Convert to fraction form
    68,158,134/102,946,836 = 102,946,836/x
  3. Step 3: Cross multiply
    68,158,134x = 102,946,836 × 102,946,836
  4. Step 4: Simplify right side
    68,158,134x = 10,598,051,042,410,896
  5. Step 5: Solve for x
    x = 10,598,051,042,410,896/68,158,134
  6. Step 6: Final answer
    x = 155,492,094.93

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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.