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Finding the Third Proportional to 301,472 and 662,128

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Solution

The third proportional to 301,472 and 662,128 is: 1,454,242.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,472 : 662,128 = 662,128 : x
  2. Step 2: Convert to fraction form
    301,472/662,128 = 662,128/x
  3. Step 3: Cross multiply
    301,472x = 662,128 × 662,128
  4. Step 4: Simplify right side
    301,472x = 438,413,488,384
  5. Step 5: Solve for x
    x = 438,413,488,384/301,472
  6. Step 6: Final answer
    x = 1,454,242.81

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.