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Finding the Third Proportional to 147,128 and 225,430

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Solution

The third proportional to 147,128 and 225,430 is: 345,404.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,128 : 225,430 = 225,430 : x
  2. Step 2: Convert to fraction form
    147,128/225,430 = 225,430/x
  3. Step 3: Cross multiply
    147,128x = 225,430 × 225,430
  4. Step 4: Simplify right side
    147,128x = 50,818,684,900
  5. Step 5: Solve for x
    x = 50,818,684,900/147,128
  6. Step 6: Final answer
    x = 345,404.58

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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.