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Finding the Third Proportional to 310,313 and 474,495

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Solution

The third proportional to 310,313 and 474,495 is: 725,543.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,313 : 474,495 = 474,495 : x
  2. Step 2: Convert to fraction form
    310,313/474,495 = 474,495/x
  3. Step 3: Cross multiply
    310,313x = 474,495 × 474,495
  4. Step 4: Simplify right side
    310,313x = 225,145,505,025
  5. Step 5: Solve for x
    x = 225,145,505,025/310,313
  6. Step 6: Final answer
    x = 725,543.26

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.