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Finding the Third Proportional to 103,802.77 and 136,300.22

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Solution

The third proportional to 103,802.77 and 136,300.22 is: 178,971.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,802.77 : 136,300.22 = 136,300.22 : x
  2. Step 2: Convert to fraction form
    103,802.77/136,300.22 = 136,300.22/x
  3. Step 3: Cross multiply
    103,802.77x = 136,300.22 × 136,300.22
  4. Step 4: Simplify right side
    103,802.77x = 18,577,749,631.30
  5. Step 5: Solve for x
    x = 18,577,749,631.30/103,802.77
  6. Step 6: Final answer
    x = 178,971.62

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.