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Finding the Third Proportional to 255,939.75 and 377,348.63

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Solution

The third proportional to 255,939.75 and 377,348.63 is: 556,349.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,939.75 : 377,348.63 = 377,348.63 : x
  2. Step 2: Convert to fraction form
    255,939.75/377,348.63 = 377,348.63/x
  3. Step 3: Cross multiply
    255,939.75x = 377,348.63 × 377,348.63
  4. Step 4: Simplify right side
    255,939.75x = 142,391,984,789.39
  5. Step 5: Solve for x
    x = 142,391,984,789.39/255,939.75
  6. Step 6: Final answer
    x = 556,349.63

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.