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Finding the Third Proportional to 100,407 and 145,080

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Solution

The third proportional to 100,407 and 145,080 is: 209,628.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,407 : 145,080 = 145,080 : x
  2. Step 2: Convert to fraction form
    100,407/145,080 = 145,080/x
  3. Step 3: Cross multiply
    100,407x = 145,080 × 145,080
  4. Step 4: Simplify right side
    100,407x = 21,048,206,400
  5. Step 5: Solve for x
    x = 21,048,206,400/100,407
  6. Step 6: Final answer
    x = 209,628.87

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.