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Finding the Third Proportional to 334,910 and 477,457

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Solution

The third proportional to 334,910 and 477,457 is: 680,675.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,910 : 477,457 = 477,457 : x
  2. Step 2: Convert to fraction form
    334,910/477,457 = 477,457/x
  3. Step 3: Cross multiply
    334,910x = 477,457 × 477,457
  4. Step 4: Simplify right side
    334,910x = 227,965,186,849
  5. Step 5: Solve for x
    x = 227,965,186,849/334,910
  6. Step 6: Final answer
    x = 680,675.96

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.