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Finding the Third Proportional to 56,911 and 85,549

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Solution

The third proportional to 56,911 and 85,549 is: 128,597.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,911 : 85,549 = 85,549 : x
  2. Step 2: Convert to fraction form
    56,911/85,549 = 85,549/x
  3. Step 3: Cross multiply
    56,911x = 85,549 × 85,549
  4. Step 4: Simplify right side
    56,911x = 7,318,631,401
  5. Step 5: Solve for x
    x = 7,318,631,401/56,911
  6. Step 6: Final answer
    x = 128,597.84

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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.