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Finding the Third Proportional to 111,447,568 and 172,214,808

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Solution

The third proportional to 111,447,568 and 172,214,808 is: 266,115,632.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,447,568 : 172,214,808 = 172,214,808 : x
  2. Step 2: Convert to fraction form
    111,447,568/172,214,808 = 172,214,808/x
  3. Step 3: Cross multiply
    111,447,568x = 172,214,808 × 172,214,808
  4. Step 4: Simplify right side
    111,447,568x = 29,657,940,094,476,864
  5. Step 5: Solve for x
    x = 29,657,940,094,476,864/111,447,568
  6. Step 6: Final answer
    x = 266,115,632.91

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.