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Finding the Third Proportional to 612,084 and 860,421

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Solution

The third proportional to 612,084 and 860,421 is: 1,209,514.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,084 : 860,421 = 860,421 : x
  2. Step 2: Convert to fraction form
    612,084/860,421 = 860,421/x
  3. Step 3: Cross multiply
    612,084x = 860,421 × 860,421
  4. Step 4: Simplify right side
    612,084x = 740,324,297,241
  5. Step 5: Solve for x
    x = 740,324,297,241/612,084
  6. Step 6: Final answer
    x = 1,209,514.21

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.