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Finding the Third Proportional to 255,343 and 357,810

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Solution

The third proportional to 255,343 and 357,810 is: 501,396.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,343 : 357,810 = 357,810 : x
  2. Step 2: Convert to fraction form
    255,343/357,810 = 357,810/x
  3. Step 3: Cross multiply
    255,343x = 357,810 × 357,810
  4. Step 4: Simplify right side
    255,343x = 128,027,996,100
  5. Step 5: Solve for x
    x = 128,027,996,100/255,343
  6. Step 6: Final answer
    x = 501,396.15

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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.