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Finding the Third Proportional to 180,128 and 417,000

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Solution

The third proportional to 180,128 and 417,000 is: 965,363.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,128 : 417,000 = 417,000 : x
  2. Step 2: Convert to fraction form
    180,128/417,000 = 417,000/x
  3. Step 3: Cross multiply
    180,128x = 417,000 × 417,000
  4. Step 4: Simplify right side
    180,128x = 173,889,000,000
  5. Step 5: Solve for x
    x = 173,889,000,000/180,128
  6. Step 6: Final answer
    x = 965,363.52

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.