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Finding the Third Proportional to 260,432 and 557,728

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Solution

The third proportional to 260,432 and 557,728 is: 1,194,402.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,432 : 557,728 = 557,728 : x
  2. Step 2: Convert to fraction form
    260,432/557,728 = 557,728/x
  3. Step 3: Cross multiply
    260,432x = 557,728 × 557,728
  4. Step 4: Simplify right side
    260,432x = 311,060,521,984
  5. Step 5: Solve for x
    x = 311,060,521,984/260,432
  6. Step 6: Final answer
    x = 1,194,402.08

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.