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Finding the Third Proportional to 255,798 and 357,696

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Solution

The third proportional to 255,798 and 357,696 is: 500,185.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,798 : 357,696 = 357,696 : x
  2. Step 2: Convert to fraction form
    255,798/357,696 = 357,696/x
  3. Step 3: Cross multiply
    255,798x = 357,696 × 357,696
  4. Step 4: Simplify right side
    255,798x = 127,946,428,416
  5. Step 5: Solve for x
    x = 127,946,428,416/255,798
  6. Step 6: Final answer
    x = 500,185.41

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.