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Finding the Third Proportional to 69,228,902 and 147,723,736

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Solution

The third proportional to 69,228,902 and 147,723,736 is: 315,219,533.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,228,902 : 147,723,736 = 147,723,736 : x
  2. Step 2: Convert to fraction form
    69,228,902/147,723,736 = 147,723,736/x
  3. Step 3: Cross multiply
    69,228,902x = 147,723,736 × 147,723,736
  4. Step 4: Simplify right side
    69,228,902x = 21,822,302,177,797,696
  5. Step 5: Solve for x
    x = 21,822,302,177,797,696/69,228,902
  6. Step 6: Final answer
    x = 315,219,533.28

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.