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Finding the Third Proportional to 133,464 and 290,220

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Solution

The third proportional to 133,464 and 290,220 is: 631,088.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,464 : 290,220 = 290,220 : x
  2. Step 2: Convert to fraction form
    133,464/290,220 = 290,220/x
  3. Step 3: Cross multiply
    133,464x = 290,220 × 290,220
  4. Step 4: Simplify right side
    133,464x = 84,227,648,400
  5. Step 5: Solve for x
    x = 84,227,648,400/133,464
  6. Step 6: Final answer
    x = 631,088.90

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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.