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Finding the Third Proportional to 245,866 and 379,715

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Solution

The third proportional to 245,866 and 379,715 is: 586,431.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,866 : 379,715 = 379,715 : x
  2. Step 2: Convert to fraction form
    245,866/379,715 = 379,715/x
  3. Step 3: Cross multiply
    245,866x = 379,715 × 379,715
  4. Step 4: Simplify right side
    245,866x = 144,183,481,225
  5. Step 5: Solve for x
    x = 144,183,481,225/245,866
  6. Step 6: Final answer
    x = 586,431.15

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.