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Finding the Third Proportional to 260,376 and 390,564

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Solution

The third proportional to 260,376 and 390,564 is: 585,846

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,376 : 390,564 = 390,564 : x
  2. Step 2: Convert to fraction form
    260,376/390,564 = 390,564/x
  3. Step 3: Cross multiply
    260,376x = 390,564 × 390,564
  4. Step 4: Simplify right side
    260,376x = 152,540,238,096
  5. Step 5: Solve for x
    x = 152,540,238,096/260,376
  6. Step 6: Final answer
    x = 585,846

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.