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Finding the Third Proportional to 122,127.75 and 160,957.13

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Solution

The third proportional to 122,127.75 and 160,957.13 is: 212,131.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,127.75 : 160,957.13 = 160,957.13 : x
  2. Step 2: Convert to fraction form
    122,127.75/160,957.13 = 160,957.13/x
  3. Step 3: Cross multiply
    122,127.75x = 160,957.13 × 160,957.13
  4. Step 4: Simplify right side
    122,127.75x = 25,907,196,088.27
  5. Step 5: Solve for x
    x = 25,907,196,088.27/122,127.75
  6. Step 6: Final answer
    x = 212,131.94

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.