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Finding the Third Proportional to 162,128 and 348,480

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Solution

The third proportional to 162,128 and 348,480 is: 749,027.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,128 : 348,480 = 348,480 : x
  2. Step 2: Convert to fraction form
    162,128/348,480 = 348,480/x
  3. Step 3: Cross multiply
    162,128x = 348,480 × 348,480
  4. Step 4: Simplify right side
    162,128x = 121,438,310,400
  5. Step 5: Solve for x
    x = 121,438,310,400/162,128
  6. Step 6: Final answer
    x = 749,027.38

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.