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Finding the Third Proportional to 133,050 and 290,946

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Solution

The third proportional to 133,050 and 290,946 is: 636,223.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,050 : 290,946 = 290,946 : x
  2. Step 2: Convert to fraction form
    133,050/290,946 = 290,946/x
  3. Step 3: Cross multiply
    133,050x = 290,946 × 290,946
  4. Step 4: Simplify right side
    133,050x = 84,649,574,916
  5. Step 5: Solve for x
    x = 84,649,574,916/133,050
  6. Step 6: Final answer
    x = 636,223.79

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.