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Finding the Third Proportional to 116,388,765 and 193,973,463

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Solution

The third proportional to 116,388,765 and 193,973,463 is: 323,276,085.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,388,765 : 193,973,463 = 193,973,463 : x
  2. Step 2: Convert to fraction form
    116,388,765/193,973,463 = 193,973,463/x
  3. Step 3: Cross multiply
    116,388,765x = 193,973,463 × 193,973,463
  4. Step 4: Simplify right side
    116,388,765x = 37,625,704,348,212,368
  5. Step 5: Solve for x
    x = 37,625,704,348,212,368/116,388,765
  6. Step 6: Final answer
    x = 323,276,085.52

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.