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Finding the Third Proportional to 180,513 and 280,641

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Solution

The third proportional to 180,513 and 280,641 is: 436,308.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,513 : 280,641 = 280,641 : x
  2. Step 2: Convert to fraction form
    180,513/280,641 = 280,641/x
  3. Step 3: Cross multiply
    180,513x = 280,641 × 280,641
  4. Step 4: Simplify right side
    180,513x = 78,759,370,881
  5. Step 5: Solve for x
    x = 78,759,370,881/180,513
  6. Step 6: Final answer
    x = 436,308.58

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.