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Finding the Third Proportional to 178,628,869.50 and 386,940,327

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Solution

The third proportional to 178,628,869.50 and 386,940,327 is: 838,178,157.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,628,869.50 : 386,940,327 = 386,940,327 : x
  2. Step 2: Convert to fraction form
    178,628,869.50/386,940,327 = 386,940,327/x
  3. Step 3: Cross multiply
    178,628,869.50x = 386,940,327 × 386,940,327
  4. Step 4: Simplify right side
    178,628,869.50x = 149,722,816,658,866,944
  5. Step 5: Solve for x
    x = 149,722,816,658,866,944/178,628,869.50
  6. Step 6: Final answer
    x = 838,178,157.19

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.