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Finding the Third Proportional to 260,064 and 489,024

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Solution

The third proportional to 260,064 and 489,024 is: 919,560.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,064 : 489,024 = 489,024 : x
  2. Step 2: Convert to fraction form
    260,064/489,024 = 489,024/x
  3. Step 3: Cross multiply
    260,064x = 489,024 × 489,024
  4. Step 4: Simplify right side
    260,064x = 239,144,472,576
  5. Step 5: Solve for x
    x = 239,144,472,576/260,064
  6. Step 6: Final answer
    x = 919,560.08

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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.