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Finding the Third Proportional to 66,539,190 and 144,795,107

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Solution

The third proportional to 66,539,190 and 144,795,107 is: 315,086,838.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,539,190 : 144,795,107 = 144,795,107 : x
  2. Step 2: Convert to fraction form
    66,539,190/144,795,107 = 144,795,107/x
  3. Step 3: Cross multiply
    66,539,190x = 144,795,107 × 144,795,107
  4. Step 4: Simplify right side
    66,539,190x = 20,965,623,011,141,448
  5. Step 5: Solve for x
    x = 20,965,623,011,141,448/66,539,190
  6. Step 6: Final answer
    x = 315,086,838.47

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.