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Finding the Third Proportional to 366,213 and 565,911

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Solution

The third proportional to 366,213 and 565,911 is: 874,505.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,213 : 565,911 = 565,911 : x
  2. Step 2: Convert to fraction form
    366,213/565,911 = 565,911/x
  3. Step 3: Cross multiply
    366,213x = 565,911 × 565,911
  4. Step 4: Simplify right side
    366,213x = 320,255,259,921
  5. Step 5: Solve for x
    x = 320,255,259,921/366,213
  6. Step 6: Final answer
    x = 874,505.44

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.