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Finding the Third Proportional to 136,785 and 213,480

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Solution

The third proportional to 136,785 and 213,480 is: 333,177.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,785 : 213,480 = 213,480 : x
  2. Step 2: Convert to fraction form
    136,785/213,480 = 213,480/x
  3. Step 3: Cross multiply
    136,785x = 213,480 × 213,480
  4. Step 4: Simplify right side
    136,785x = 45,573,710,400
  5. Step 5: Solve for x
    x = 45,573,710,400/136,785
  6. Step 6: Final answer
    x = 333,177.69

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.