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Finding the Third Proportional to 109,128 and 160,236

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Solution

The third proportional to 109,128 and 160,236 is: 235,279.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,128 : 160,236 = 160,236 : x
  2. Step 2: Convert to fraction form
    109,128/160,236 = 160,236/x
  3. Step 3: Cross multiply
    109,128x = 160,236 × 160,236
  4. Step 4: Simplify right side
    109,128x = 25,675,575,696
  5. Step 5: Solve for x
    x = 25,675,575,696/109,128
  6. Step 6: Final answer
    x = 235,279.45

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.