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Finding the Third Proportional to 180,878 and 280,357

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Solution

The third proportional to 180,878 and 280,357 is: 434,547.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,878 : 280,357 = 280,357 : x
  2. Step 2: Convert to fraction form
    180,878/280,357 = 280,357/x
  3. Step 3: Cross multiply
    180,878x = 280,357 × 280,357
  4. Step 4: Simplify right side
    180,878x = 78,600,047,449
  5. Step 5: Solve for x
    x = 78,600,047,449/180,878
  6. Step 6: Final answer
    x = 434,547.31

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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.