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Finding the Third Proportional to 190,080 and 256,575

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Solution

The third proportional to 190,080 and 256,575 is: 346,331.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,080 : 256,575 = 256,575 : x
  2. Step 2: Convert to fraction form
    190,080/256,575 = 256,575/x
  3. Step 3: Cross multiply
    190,080x = 256,575 × 256,575
  4. Step 4: Simplify right side
    190,080x = 65,830,730,625
  5. Step 5: Solve for x
    x = 65,830,730,625/190,080
  6. Step 6: Final answer
    x = 346,331.71

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.