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Finding the Third Proportional to 260,090 and 489,076

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Solution

The third proportional to 260,090 and 489,076 is: 919,663.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,090 : 489,076 = 489,076 : x
  2. Step 2: Convert to fraction form
    260,090/489,076 = 489,076/x
  3. Step 3: Cross multiply
    260,090x = 489,076 × 489,076
  4. Step 4: Simplify right side
    260,090x = 239,195,333,776
  5. Step 5: Solve for x
    x = 239,195,333,776/260,090
  6. Step 6: Final answer
    x = 919,663.71

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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.