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Finding the Third Proportional to 287,227 and 402,495

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Solution

The third proportional to 287,227 and 402,495 is: 564,021.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,227 : 402,495 = 402,495 : x
  2. Step 2: Convert to fraction form
    287,227/402,495 = 402,495/x
  3. Step 3: Cross multiply
    287,227x = 402,495 × 402,495
  4. Step 4: Simplify right side
    287,227x = 162,002,225,025
  5. Step 5: Solve for x
    x = 162,002,225,025/287,227
  6. Step 6: Final answer
    x = 564,021.58

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.