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Finding the Third Proportional to 254,080 and 348,720

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Solution

The third proportional to 254,080 and 348,720 is: 478,611.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,080 : 348,720 = 348,720 : x
  2. Step 2: Convert to fraction form
    254,080/348,720 = 348,720/x
  3. Step 3: Cross multiply
    254,080x = 348,720 × 348,720
  4. Step 4: Simplify right side
    254,080x = 121,605,638,400
  5. Step 5: Solve for x
    x = 121,605,638,400/254,080
  6. Step 6: Final answer
    x = 478,611.61

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.