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Finding the Third Proportional to 245,379 and 529,421

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Solution

The third proportional to 245,379 and 529,421 is: 1,142,259.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,379 : 529,421 = 529,421 : x
  2. Step 2: Convert to fraction form
    245,379/529,421 = 529,421/x
  3. Step 3: Cross multiply
    245,379x = 529,421 × 529,421
  4. Step 4: Simplify right side
    245,379x = 280,286,595,241
  5. Step 5: Solve for x
    x = 280,286,595,241/245,379
  6. Step 6: Final answer
    x = 1,142,259.91

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.