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Finding the Third Proportional to 112,902 and 153,783

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Solution

The third proportional to 112,902 and 153,783 is: 209,466.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,902 : 153,783 = 153,783 : x
  2. Step 2: Convert to fraction form
    112,902/153,783 = 153,783/x
  3. Step 3: Cross multiply
    112,902x = 153,783 × 153,783
  4. Step 4: Simplify right side
    112,902x = 23,649,211,089
  5. Step 5: Solve for x
    x = 23,649,211,089/112,902
  6. Step 6: Final answer
    x = 209,466.72

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.