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Finding the Third Proportional to 260,090 and 489,074

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Solution

The third proportional to 260,090 and 489,074 is: 919,656.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,090 : 489,074 = 489,074 : x
  2. Step 2: Convert to fraction form
    260,090/489,074 = 489,074/x
  3. Step 3: Cross multiply
    260,090x = 489,074 × 489,074
  4. Step 4: Simplify right side
    260,090x = 239,193,377,476
  5. Step 5: Solve for x
    x = 239,193,377,476/260,090
  6. Step 6: Final answer
    x = 919,656.19

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Why These Related Problems?

These problems maintain the same ratio (1.88) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.