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Finding the Third Proportional to 431,724 and 670,194

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Solution

The third proportional to 431,724 and 670,194 is: 1,040,386.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,724 : 670,194 = 670,194 : x
  2. Step 2: Convert to fraction form
    431,724/670,194 = 670,194/x
  3. Step 3: Cross multiply
    431,724x = 670,194 × 670,194
  4. Step 4: Simplify right side
    431,724x = 449,159,997,636
  5. Step 5: Solve for x
    x = 449,159,997,636/431,724
  6. Step 6: Final answer
    x = 1,040,386.91

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.