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Finding the Third Proportional to 120,255 and 190,407

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Solution

The third proportional to 120,255 and 190,407 is: 301,482.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,255 : 190,407 = 190,407 : x
  2. Step 2: Convert to fraction form
    120,255/190,407 = 190,407/x
  3. Step 3: Cross multiply
    120,255x = 190,407 × 190,407
  4. Step 4: Simplify right side
    120,255x = 36,254,825,649
  5. Step 5: Solve for x
    x = 36,254,825,649/120,255
  6. Step 6: Final answer
    x = 301,482.90

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.