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Finding the Third Proportional to 310,577 and 665,441

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Solution

The third proportional to 310,577 and 665,441 is: 1,425,771.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,577 : 665,441 = 665,441 : x
  2. Step 2: Convert to fraction form
    310,577/665,441 = 665,441/x
  3. Step 3: Cross multiply
    310,577x = 665,441 × 665,441
  4. Step 4: Simplify right side
    310,577x = 442,811,724,481
  5. Step 5: Solve for x
    x = 442,811,724,481/310,577
  6. Step 6: Final answer
    x = 1,425,771.14

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.