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Finding the Third Proportional to 254,040 and 348,660

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Solution

The third proportional to 254,040 and 348,660 is: 478,522.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,040 : 348,660 = 348,660 : x
  2. Step 2: Convert to fraction form
    254,040/348,660 = 348,660/x
  3. Step 3: Cross multiply
    254,040x = 348,660 × 348,660
  4. Step 4: Simplify right side
    254,040x = 121,563,795,600
  5. Step 5: Solve for x
    x = 121,563,795,600/254,040
  6. Step 6: Final answer
    x = 478,522.26

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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.