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Finding the Third Proportional to 153,128 and 225,312

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Solution

The third proportional to 153,128 and 225,312 is: 331,523.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,128 : 225,312 = 225,312 : x
  2. Step 2: Convert to fraction form
    153,128/225,312 = 225,312/x
  3. Step 3: Cross multiply
    153,128x = 225,312 × 225,312
  4. Step 4: Simplify right side
    153,128x = 50,765,497,344
  5. Step 5: Solve for x
    x = 50,765,497,344/153,128
  6. Step 6: Final answer
    x = 331,523.28

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.