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Finding the Third Proportional to 245,483 and 529,642

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Solution

The third proportional to 245,483 and 529,642 is: 1,142,729.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,483 : 529,642 = 529,642 : x
  2. Step 2: Convert to fraction form
    245,483/529,642 = 529,642/x
  3. Step 3: Cross multiply
    245,483x = 529,642 × 529,642
  4. Step 4: Simplify right side
    245,483x = 280,520,648,164
  5. Step 5: Solve for x
    x = 280,520,648,164/245,483
  6. Step 6: Final answer
    x = 1,142,729.43

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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.