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Finding the Third Proportional to 131,692,404 and 289,455,342

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Solution

The third proportional to 131,692,404 and 289,455,342 is: 636,212,814.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,692,404 : 289,455,342 = 289,455,342 : x
  2. Step 2: Convert to fraction form
    131,692,404/289,455,342 = 289,455,342/x
  3. Step 3: Cross multiply
    131,692,404x = 289,455,342 × 289,455,342
  4. Step 4: Simplify right side
    131,692,404x = 83,784,395,012,336,960
  5. Step 5: Solve for x
    x = 83,784,395,012,336,960/131,692,404
  6. Step 6: Final answer
    x = 636,212,814.62

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.