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Finding the Third Proportional to 322,895,848.50 and 688,843,521

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Solution

The third proportional to 322,895,848.50 and 688,843,521 is: 1,469,530,805.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,895,848.50 : 688,843,521 = 688,843,521 : x
  2. Step 2: Convert to fraction form
    322,895,848.50/688,843,521 = 688,843,521/x
  3. Step 3: Cross multiply
    322,895,848.50x = 688,843,521 × 688,843,521
  4. Step 4: Simplify right side
    322,895,848.50x = 474,505,396,423,677,440
  5. Step 5: Solve for x
    x = 474,505,396,423,677,440/322,895,848.50
  6. Step 6: Final answer
    x = 1,469,530,805.76

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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.