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Finding the Third Proportional to 260,478 and 390,645

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Solution

The third proportional to 260,478 and 390,645 is: 585,859.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,478 : 390,645 = 390,645 : x
  2. Step 2: Convert to fraction form
    260,478/390,645 = 390,645/x
  3. Step 3: Cross multiply
    260,478x = 390,645 × 390,645
  4. Step 4: Simplify right side
    260,478x = 152,603,516,025
  5. Step 5: Solve for x
    x = 152,603,516,025/260,478
  6. Step 6: Final answer
    x = 585,859.52

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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.