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Finding the Third Proportional to 345,255 and 529,911

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Solution

The third proportional to 345,255 and 529,911 is: 813,328.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,255 : 529,911 = 529,911 : x
  2. Step 2: Convert to fraction form
    345,255/529,911 = 529,911/x
  3. Step 3: Cross multiply
    345,255x = 529,911 × 529,911
  4. Step 4: Simplify right side
    345,255x = 280,805,667,921
  5. Step 5: Solve for x
    x = 280,805,667,921/345,255
  6. Step 6: Final answer
    x = 813,328.32

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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.