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Finding the Third Proportional to 245,745 and 521,235

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Solution

The third proportional to 245,745 and 521,235 is: 1,105,560.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,745 : 521,235 = 521,235 : x
  2. Step 2: Convert to fraction form
    245,745/521,235 = 521,235/x
  3. Step 3: Cross multiply
    245,745x = 521,235 × 521,235
  4. Step 4: Simplify right side
    245,745x = 271,685,925,225
  5. Step 5: Solve for x
    x = 271,685,925,225/245,745
  6. Step 6: Final answer
    x = 1,105,560.34

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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.