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Finding the Third Proportional to 96,231,132 and 139,037,364

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Solution

The third proportional to 96,231,132 and 139,037,364 is: 200,884,975.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,231,132 : 139,037,364 = 139,037,364 : x
  2. Step 2: Convert to fraction form
    96,231,132/139,037,364 = 139,037,364/x
  3. Step 3: Cross multiply
    96,231,132x = 139,037,364 × 139,037,364
  4. Step 4: Simplify right side
    96,231,132x = 19,331,388,588,068,496
  5. Step 5: Solve for x
    x = 19,331,388,588,068,496/96,231,132
  6. Step 6: Final answer
    x = 200,884,975.44

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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.