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Finding the Third Proportional to 132,441 and 287,457

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Solution

The third proportional to 132,441 and 287,457 is: 623,911.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,441 : 287,457 = 287,457 : x
  2. Step 2: Convert to fraction form
    132,441/287,457 = 287,457/x
  3. Step 3: Cross multiply
    132,441x = 287,457 × 287,457
  4. Step 4: Simplify right side
    132,441x = 82,631,526,849
  5. Step 5: Solve for x
    x = 82,631,526,849/132,441
  6. Step 6: Final answer
    x = 623,911.98

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.