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Finding the Third Proportional to 245,859 and 379,707

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Solution

The third proportional to 245,859 and 379,707 is: 586,423.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,859 : 379,707 = 379,707 : x
  2. Step 2: Convert to fraction form
    245,859/379,707 = 379,707/x
  3. Step 3: Cross multiply
    245,859x = 379,707 × 379,707
  4. Step 4: Simplify right side
    245,859x = 144,177,405,849
  5. Step 5: Solve for x
    x = 144,177,405,849/245,859
  6. Step 6: Final answer
    x = 586,423.14

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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.