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Finding the Third Proportional to 180,617 and 277,720

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Solution

The third proportional to 180,617 and 277,720 is: 427,027.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,617 : 277,720 = 277,720 : x
  2. Step 2: Convert to fraction form
    180,617/277,720 = 277,720/x
  3. Step 3: Cross multiply
    180,617x = 277,720 × 277,720
  4. Step 4: Simplify right side
    180,617x = 77,128,398,400
  5. Step 5: Solve for x
    x = 77,128,398,400/180,617
  6. Step 6: Final answer
    x = 427,027.35

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.