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Finding the Third Proportional to 183,461 and 280,663

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Solution

The third proportional to 183,461 and 280,663 is: 429,364.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,461 : 280,663 = 280,663 : x
  2. Step 2: Convert to fraction form
    183,461/280,663 = 280,663/x
  3. Step 3: Cross multiply
    183,461x = 280,663 × 280,663
  4. Step 4: Simplify right side
    183,461x = 78,771,719,569
  5. Step 5: Solve for x
    x = 78,771,719,569/183,461
  6. Step 6: Final answer
    x = 429,364.93

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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.