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Finding the Third Proportional to 377,364 and 813,804

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Solution

The third proportional to 377,364 and 813,804 is: 1,755,008.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,364 : 813,804 = 813,804 : x
  2. Step 2: Convert to fraction form
    377,364/813,804 = 813,804/x
  3. Step 3: Cross multiply
    377,364x = 813,804 × 813,804
  4. Step 4: Simplify right side
    377,364x = 662,276,950,416
  5. Step 5: Solve for x
    x = 662,276,950,416/377,364
  6. Step 6: Final answer
    x = 1,755,008.30

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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.