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Finding the Third Proportional to 133,090 and 288,644

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Solution

The third proportional to 133,090 and 288,644 is: 626,007.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,090 : 288,644 = 288,644 : x
  2. Step 2: Convert to fraction form
    133,090/288,644 = 288,644/x
  3. Step 3: Cross multiply
    133,090x = 288,644 × 288,644
  4. Step 4: Simplify right side
    133,090x = 83,315,358,736
  5. Step 5: Solve for x
    x = 83,315,358,736/133,090
  6. Step 6: Final answer
    x = 626,007.65

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Why These Related Problems?

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