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Finding the Third Proportional to 245,808 and 520,416

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Solution

The third proportional to 245,808 and 520,416 is: 1,101,806.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,808 : 520,416 = 520,416 : x
  2. Step 2: Convert to fraction form
    245,808/520,416 = 520,416/x
  3. Step 3: Cross multiply
    245,808x = 520,416 × 520,416
  4. Step 4: Simplify right side
    245,808x = 270,832,813,056
  5. Step 5: Solve for x
    x = 270,832,813,056/245,808
  6. Step 6: Final answer
    x = 1,101,806.34

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.