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Finding the Third Proportional to 133,628 and 290,056

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Solution

The third proportional to 133,628 and 290,056 is: 629,602.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,628 : 290,056 = 290,056 : x
  2. Step 2: Convert to fraction form
    133,628/290,056 = 290,056/x
  3. Step 3: Cross multiply
    133,628x = 290,056 × 290,056
  4. Step 4: Simplify right side
    133,628x = 84,132,483,136
  5. Step 5: Solve for x
    x = 84,132,483,136/133,628
  6. Step 6: Final answer
    x = 629,602.20

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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.