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Finding the Third Proportional to 280,166 and 377,463

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Solution

The third proportional to 280,166 and 377,463 is: 508,549.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,166 : 377,463 = 377,463 : x
  2. Step 2: Convert to fraction form
    280,166/377,463 = 377,463/x
  3. Step 3: Cross multiply
    280,166x = 377,463 × 377,463
  4. Step 4: Simplify right side
    280,166x = 142,478,316,369
  5. Step 5: Solve for x
    x = 142,478,316,369/280,166
  6. Step 6: Final answer
    x = 508,549.63

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.