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Finding the Third Proportional to 133,128 and 286,553

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Solution

The third proportional to 133,128 and 286,553 is: 616,794.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,128 : 286,553 = 286,553 : x
  2. Step 2: Convert to fraction form
    133,128/286,553 = 286,553/x
  3. Step 3: Cross multiply
    133,128x = 286,553 × 286,553
  4. Step 4: Simplify right side
    133,128x = 82,112,621,809
  5. Step 5: Solve for x
    x = 82,112,621,809/133,128
  6. Step 6: Final answer
    x = 616,794.53

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.