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Finding the Third Proportional to 283,025 and 424,495

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Solution

The third proportional to 283,025 and 424,495 is: 636,678.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,025 : 424,495 = 424,495 : x
  2. Step 2: Convert to fraction form
    283,025/424,495 = 424,495/x
  3. Step 3: Cross multiply
    283,025x = 424,495 × 424,495
  4. Step 4: Simplify right side
    283,025x = 180,196,005,025
  5. Step 5: Solve for x
    x = 180,196,005,025/283,025
  6. Step 6: Final answer
    x = 636,678.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.