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Finding the Third Proportional to 39,796,912 and 84,376,640

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Solution

The third proportional to 39,796,912 and 84,376,640 is: 178,893,713.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,796,912 : 84,376,640 = 84,376,640 : x
  2. Step 2: Convert to fraction form
    39,796,912/84,376,640 = 84,376,640/x
  3. Step 3: Cross multiply
    39,796,912x = 84,376,640 × 84,376,640
  4. Step 4: Simplify right side
    39,796,912x = 7,119,417,377,689,600
  5. Step 5: Solve for x
    x = 7,119,417,377,689,600/39,796,912
  6. Step 6: Final answer
    x = 178,893,713.60

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.