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Finding the Third Proportional to 252,284 and 420,457

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Solution

The third proportional to 252,284 and 420,457 is: 700,734.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,284 : 420,457 = 420,457 : x
  2. Step 2: Convert to fraction form
    252,284/420,457 = 420,457/x
  3. Step 3: Cross multiply
    252,284x = 420,457 × 420,457
  4. Step 4: Simplify right side
    252,284x = 176,784,088,849
  5. Step 5: Solve for x
    x = 176,784,088,849/252,284
  6. Step 6: Final answer
    x = 700,734.45

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.