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Finding the Third Proportional to 256,830 and 340,785

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Solution

The third proportional to 256,830 and 340,785 is: 452,184.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,830 : 340,785 = 340,785 : x
  2. Step 2: Convert to fraction form
    256,830/340,785 = 340,785/x
  3. Step 3: Cross multiply
    256,830x = 340,785 × 340,785
  4. Step 4: Simplify right side
    256,830x = 116,134,416,225
  5. Step 5: Solve for x
    x = 116,134,416,225/256,830
  6. Step 6: Final answer
    x = 452,184.00

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.