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Finding the Third Proportional to 311,526,387 and 664,749,630

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Solution

The third proportional to 311,526,387 and 664,749,630 is: 1,418,473,968.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,526,387 : 664,749,630 = 664,749,630 : x
  2. Step 2: Convert to fraction form
    311,526,387/664,749,630 = 664,749,630/x
  3. Step 3: Cross multiply
    311,526,387x = 664,749,630 × 664,749,630
  4. Step 4: Simplify right side
    311,526,387x = 441,892,070,585,136,896
  5. Step 5: Solve for x
    x = 441,892,070,585,136,896/311,526,387
  6. Step 6: Final answer
    x = 1,418,473,968.90

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.