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Finding the Third Proportional to 86,820,109 and 180,785,146

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Solution

The third proportional to 86,820,109 and 180,785,146 is: 376,448,145.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,820,109 : 180,785,146 = 180,785,146 : x
  2. Step 2: Convert to fraction form
    86,820,109/180,785,146 = 180,785,146/x
  3. Step 3: Cross multiply
    86,820,109x = 180,785,146 × 180,785,146
  4. Step 4: Simplify right side
    86,820,109x = 32,683,269,014,241,316
  5. Step 5: Solve for x
    x = 32,683,269,014,241,316/86,820,109
  6. Step 6: Final answer
    x = 376,448,145.37

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.