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Finding the Third Proportional to 261,669 and 563,433

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Solution

The third proportional to 261,669 and 563,433 is: 1,213,199.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,669 : 563,433 = 563,433 : x
  2. Step 2: Convert to fraction form
    261,669/563,433 = 563,433/x
  3. Step 3: Cross multiply
    261,669x = 563,433 × 563,433
  4. Step 4: Simplify right side
    261,669x = 317,456,745,489
  5. Step 5: Solve for x
    x = 317,456,745,489/261,669
  6. Step 6: Final answer
    x = 1,213,199.67

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.