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Finding the Third Proportional to 303,120 and 474,460

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Solution

The third proportional to 303,120 and 474,460 is: 742,650.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,120 : 474,460 = 474,460 : x
  2. Step 2: Convert to fraction form
    303,120/474,460 = 474,460/x
  3. Step 3: Cross multiply
    303,120x = 474,460 × 474,460
  4. Step 4: Simplify right side
    303,120x = 225,112,291,600
  5. Step 5: Solve for x
    x = 225,112,291,600/303,120
  6. Step 6: Final answer
    x = 742,650.74

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.