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Finding the Third Proportional to 566,420 and 869,286

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Solution

The third proportional to 566,420 and 869,286 is: 1,334,095.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,420 : 869,286 = 869,286 : x
  2. Step 2: Convert to fraction form
    566,420/869,286 = 869,286/x
  3. Step 3: Cross multiply
    566,420x = 869,286 × 869,286
  4. Step 4: Simplify right side
    566,420x = 755,658,149,796
  5. Step 5: Solve for x
    x = 755,658,149,796/566,420
  6. Step 6: Final answer
    x = 1,334,095.11

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.