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Finding the Third Proportional to 255,313 and 389,881.50

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Solution

The third proportional to 255,313 and 389,881.50 is: 595,377.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,313 : 389,881.50 = 389,881.50 : x
  2. Step 2: Convert to fraction form
    255,313/389,881.50 = 389,881.50/x
  3. Step 3: Cross multiply
    255,313x = 389,881.50 × 389,881.50
  4. Step 4: Simplify right side
    255,313x = 152,007,584,042.25
  5. Step 5: Solve for x
    x = 152,007,584,042.25/255,313
  6. Step 6: Final answer
    x = 595,377.38

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.