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Finding the Third Proportional to 276,313 and 415,495

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Solution

The third proportional to 276,313 and 415,495 is: 624,784.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,313 : 415,495 = 415,495 : x
  2. Step 2: Convert to fraction form
    276,313/415,495 = 415,495/x
  3. Step 3: Cross multiply
    276,313x = 415,495 × 415,495
  4. Step 4: Simplify right side
    276,313x = 172,636,095,025
  5. Step 5: Solve for x
    x = 172,636,095,025/276,313
  6. Step 6: Final answer
    x = 624,784.56

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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.