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Finding the Third Proportional to 297,804 and 642,261

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Solution

The third proportional to 297,804 and 642,261 is: 1,385,136.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,804 : 642,261 = 642,261 : x
  2. Step 2: Convert to fraction form
    297,804/642,261 = 642,261/x
  3. Step 3: Cross multiply
    297,804x = 642,261 × 642,261
  4. Step 4: Simplify right side
    297,804x = 412,499,192,121
  5. Step 5: Solve for x
    x = 412,499,192,121/297,804
  6. Step 6: Final answer
    x = 1,385,136.51

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.