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Finding the Third Proportional to 260,482 and 390,651

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Solution

The third proportional to 260,482 and 390,651 is: 585,868.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,482 : 390,651 = 390,651 : x
  2. Step 2: Convert to fraction form
    260,482/390,651 = 390,651/x
  3. Step 3: Cross multiply
    260,482x = 390,651 × 390,651
  4. Step 4: Simplify right side
    260,482x = 152,608,203,801
  5. Step 5: Solve for x
    x = 152,608,203,801/260,482
  6. Step 6: Final answer
    x = 585,868.52

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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.