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Finding the Third Proportional to 84,846,723,856 and 127,624,320,816

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Solution

The third proportional to 84,846,723,856 and 127,624,320,816 is: 191,969,312,703.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,846,723,856 : 127,624,320,816 = 127,624,320,816 : x
  2. Step 2: Convert to fraction form
    84,846,723,856/127,624,320,816 = 127,624,320,816/x
  3. Step 3: Cross multiply
    84,846,723,856x = 127,624,320,816 × 127,624,320,816
  4. Step 4: Simplify right side
    84,846,723,856x = 16,287,967,263,745,290,272,768
  5. Step 5: Solve for x
    x = 16,287,967,263,745,290,272,768/84,846,723,856
  6. Step 6: Final answer
    x = 191,969,312,703.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.