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Finding the Third Proportional to 438,144 and 626,112

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Solution

The third proportional to 438,144 and 626,112 is: 894,720.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,144 : 626,112 = 626,112 : x
  2. Step 2: Convert to fraction form
    438,144/626,112 = 626,112/x
  3. Step 3: Cross multiply
    438,144x = 626,112 × 626,112
  4. Step 4: Simplify right side
    438,144x = 392,016,236,544
  5. Step 5: Solve for x
    x = 392,016,236,544/438,144
  6. Step 6: Final answer
    x = 894,720.08

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.