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Finding the Third Proportional to 191,232 and 280,080

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Solution

The third proportional to 191,232 and 280,080 is: 410,207.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,232 : 280,080 = 280,080 : x
  2. Step 2: Convert to fraction form
    191,232/280,080 = 280,080/x
  3. Step 3: Cross multiply
    191,232x = 280,080 × 280,080
  4. Step 4: Simplify right side
    191,232x = 78,444,806,400
  5. Step 5: Solve for x
    x = 78,444,806,400/191,232
  6. Step 6: Final answer
    x = 410,207.53

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.