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Finding the Third Proportional to 183,690 and 280,968

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Solution

The third proportional to 183,690 and 280,968 is: 429,762.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,690 : 280,968 = 280,968 : x
  2. Step 2: Convert to fraction form
    183,690/280,968 = 280,968/x
  3. Step 3: Cross multiply
    183,690x = 280,968 × 280,968
  4. Step 4: Simplify right side
    183,690x = 78,943,017,024
  5. Step 5: Solve for x
    x = 78,943,017,024/183,690
  6. Step 6: Final answer
    x = 429,762.19

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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.