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Finding the Third Proportional to 133,888,410 and 206,891,544

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Solution

The third proportional to 133,888,410 and 206,891,544 is: 319,699,897.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,888,410 : 206,891,544 = 206,891,544 : x
  2. Step 2: Convert to fraction form
    133,888,410/206,891,544 = 206,891,544/x
  3. Step 3: Cross multiply
    133,888,410x = 206,891,544 × 206,891,544
  4. Step 4: Simplify right side
    133,888,410x = 42,804,110,978,703,936
  5. Step 5: Solve for x
    x = 42,804,110,978,703,936/133,888,410
  6. Step 6: Final answer
    x = 319,699,897.69

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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.