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Finding the Third Proportional to 405,586 and 938,900

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Solution

The third proportional to 405,586 and 938,900 is: 2,173,480.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,586 : 938,900 = 938,900 : x
  2. Step 2: Convert to fraction form
    405,586/938,900 = 938,900/x
  3. Step 3: Cross multiply
    405,586x = 938,900 × 938,900
  4. Step 4: Simplify right side
    405,586x = 881,533,210,000
  5. Step 5: Solve for x
    x = 881,533,210,000/405,586
  6. Step 6: Final answer
    x = 2,173,480.37

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.