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Finding the Third Proportional to 255,795 and 426,299

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Solution

The third proportional to 255,795 and 426,299 is: 710,455.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,795 : 426,299 = 426,299 : x
  2. Step 2: Convert to fraction form
    255,795/426,299 = 426,299/x
  3. Step 3: Cross multiply
    255,795x = 426,299 × 426,299
  4. Step 4: Simplify right side
    255,795x = 181,730,837,401
  5. Step 5: Solve for x
    x = 181,730,837,401/255,795
  6. Step 6: Final answer
    x = 710,455.00

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.