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Finding the Third Proportional to 245,286 and 529,281

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Solution

The third proportional to 245,286 and 529,281 is: 1,142,088.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,286 : 529,281 = 529,281 : x
  2. Step 2: Convert to fraction form
    245,286/529,281 = 529,281/x
  3. Step 3: Cross multiply
    245,286x = 529,281 × 529,281
  4. Step 4: Simplify right side
    245,286x = 280,138,376,961
  5. Step 5: Solve for x
    x = 280,138,376,961/245,286
  6. Step 6: Final answer
    x = 1,142,088.73

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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.