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Finding the Third Proportional to 272,085.75 and 428,996.25

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Solution

The third proportional to 272,085.75 and 428,996.25 is: 676,396.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,085.75 : 428,996.25 = 428,996.25 : x
  2. Step 2: Convert to fraction form
    272,085.75/428,996.25 = 428,996.25/x
  3. Step 3: Cross multiply
    272,085.75x = 428,996.25 × 428,996.25
  4. Step 4: Simplify right side
    272,085.75x = 184,037,782,514.06
  5. Step 5: Solve for x
    x = 184,037,782,514.06/272,085.75
  6. Step 6: Final answer
    x = 676,396.26

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.