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Finding the Third Proportional to 59,191,192,980 and 85,521,052,206

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Solution

The third proportional to 59,191,192,980 and 85,521,052,206 is: 123,563,151,918.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,191,192,980 : 85,521,052,206 = 85,521,052,206 : x
  2. Step 2: Convert to fraction form
    59,191,192,980/85,521,052,206 = 85,521,052,206/x
  3. Step 3: Cross multiply
    59,191,192,980x = 85,521,052,206 × 85,521,052,206
  4. Step 4: Simplify right side
    59,191,192,980x = 7,313,850,370,421,377,990,656
  5. Step 5: Solve for x
    x = 7,313,850,370,421,377,990,656/59,191,192,980
  6. Step 6: Final answer
    x = 123,563,151,918.44

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.