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Finding the Third Proportional to 307,888 and 474,468

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Solution

The third proportional to 307,888 and 474,468 is: 731,174.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,888 : 474,468 = 474,468 : x
  2. Step 2: Convert to fraction form
    307,888/474,468 = 474,468/x
  3. Step 3: Cross multiply
    307,888x = 474,468 × 474,468
  4. Step 4: Simplify right side
    307,888x = 225,119,883,024
  5. Step 5: Solve for x
    x = 225,119,883,024/307,888
  6. Step 6: Final answer
    x = 731,174.59

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.