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Finding the Third Proportional to 147,492,770 and 212,469,107

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Solution

The third proportional to 147,492,770 and 212,469,107 is: 306,070,063.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,492,770 : 212,469,107 = 212,469,107 : x
  2. Step 2: Convert to fraction form
    147,492,770/212,469,107 = 212,469,107/x
  3. Step 3: Cross multiply
    147,492,770x = 212,469,107 × 212,469,107
  4. Step 4: Simplify right side
    147,492,770x = 45,143,121,429,377,448
  5. Step 5: Solve for x
    x = 45,143,121,429,377,448/147,492,770
  6. Step 6: Final answer
    x = 306,070,063.16

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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.