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Finding the Third Proportional to 153,559 and 236,899

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Solution

The third proportional to 153,559 and 236,899 is: 365,469.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,559 : 236,899 = 236,899 : x
  2. Step 2: Convert to fraction form
    153,559/236,899 = 236,899/x
  3. Step 3: Cross multiply
    153,559x = 236,899 × 236,899
  4. Step 4: Simplify right side
    153,559x = 56,121,136,201
  5. Step 5: Solve for x
    x = 56,121,136,201/153,559
  6. Step 6: Final answer
    x = 365,469.53

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.