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Finding the Third Proportional to 112,101 and 163,840.50

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Solution

The third proportional to 112,101 and 163,840.50 is: 239,460.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,101 : 163,840.50 = 163,840.50 : x
  2. Step 2: Convert to fraction form
    112,101/163,840.50 = 163,840.50/x
  3. Step 3: Cross multiply
    112,101x = 163,840.50 × 163,840.50
  4. Step 4: Simplify right side
    112,101x = 26,843,709,440.25
  5. Step 5: Solve for x
    x = 26,843,709,440.25/112,101
  6. Step 6: Final answer
    x = 239,460.04

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.