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Finding the Third Proportional to 245,671 and 520,865

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Solution

The third proportional to 245,671 and 520,865 is: 1,104,323.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,671 : 520,865 = 520,865 : x
  2. Step 2: Convert to fraction form
    245,671/520,865 = 520,865/x
  3. Step 3: Cross multiply
    245,671x = 520,865 × 520,865
  4. Step 4: Simplify right side
    245,671x = 271,300,348,225
  5. Step 5: Solve for x
    x = 271,300,348,225/245,671
  6. Step 6: Final answer
    x = 1,104,323.86

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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.