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Finding the Third Proportional to 133,100.63 and 288,658.88

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Solution

The third proportional to 133,100.63 and 288,658.88 is: 626,022.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,100.63 : 288,658.88 = 288,658.88 : x
  2. Step 2: Convert to fraction form
    133,100.63/288,658.88 = 288,658.88/x
  3. Step 3: Cross multiply
    133,100.63x = 288,658.88 × 288,658.88
  4. Step 4: Simplify right side
    133,100.63x = 83,323,946,116.27
  5. Step 5: Solve for x
    x = 83,323,946,116.27/133,100.63
  6. Step 6: Final answer
    x = 626,022.20

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.