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Finding the Third Proportional to 245,670 and 520,863

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Solution

The third proportional to 245,670 and 520,863 is: 1,104,319.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,670 : 520,863 = 520,863 : x
  2. Step 2: Convert to fraction form
    245,670/520,863 = 520,863/x
  3. Step 3: Cross multiply
    245,670x = 520,863 × 520,863
  4. Step 4: Simplify right side
    245,670x = 271,298,264,769
  5. Step 5: Solve for x
    x = 271,298,264,769/245,670
  6. Step 6: Final answer
    x = 1,104,319.88

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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.