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Finding the Third Proportional to 245,666 and 520,858

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Solution

The third proportional to 245,666 and 520,858 is: 1,104,316.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,666 : 520,858 = 520,858 : x
  2. Step 2: Convert to fraction form
    245,666/520,858 = 520,858/x
  3. Step 3: Cross multiply
    245,666x = 520,858 × 520,858
  4. Step 4: Simplify right side
    245,666x = 271,293,056,164
  5. Step 5: Solve for x
    x = 271,293,056,164/245,666
  6. Step 6: Final answer
    x = 1,104,316.66

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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.