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Finding the Third Proportional to 133,130 and 286,558

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Solution

The third proportional to 133,130 and 286,558 is: 616,806.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,130 : 286,558 = 286,558 : x
  2. Step 2: Convert to fraction form
    133,130/286,558 = 286,558/x
  3. Step 3: Cross multiply
    133,130x = 286,558 × 286,558
  4. Step 4: Simplify right side
    133,130x = 82,115,487,364
  5. Step 5: Solve for x
    x = 82,115,487,364/133,130
  6. Step 6: Final answer
    x = 616,806.79

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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.