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Finding the Third Proportional to 260,280 and 382,212

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Solution

The third proportional to 260,280 and 382,212 is: 561,264.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,280 : 382,212 = 382,212 : x
  2. Step 2: Convert to fraction form
    260,280/382,212 = 382,212/x
  3. Step 3: Cross multiply
    260,280x = 382,212 × 382,212
  4. Step 4: Simplify right side
    260,280x = 146,086,012,944
  5. Step 5: Solve for x
    x = 146,086,012,944/260,280
  6. Step 6: Final answer
    x = 561,264.84

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.