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Finding the Third Proportional to 255,392 and 404,202

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Solution

The third proportional to 255,392 and 404,202 is: 639,719.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,392 : 404,202 = 404,202 : x
  2. Step 2: Convert to fraction form
    255,392/404,202 = 404,202/x
  3. Step 3: Cross multiply
    255,392x = 404,202 × 404,202
  4. Step 4: Simplify right side
    255,392x = 163,379,256,804
  5. Step 5: Solve for x
    x = 163,379,256,804/255,392
  6. Step 6: Final answer
    x = 639,719.56

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.