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Finding the Third Proportional to 421,724.81 and 918,324

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Solution

The third proportional to 421,724.81 and 918,324 is: 1,999,690.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,724.81 : 918,324 = 918,324 : x
  2. Step 2: Convert to fraction form
    421,724.81/918,324 = 918,324/x
  3. Step 3: Cross multiply
    421,724.81x = 918,324 × 918,324
  4. Step 4: Simplify right side
    421,724.81x = 843,318,968,976
  5. Step 5: Solve for x
    x = 843,318,968,976/421,724.81
  6. Step 6: Final answer
    x = 1,999,690.19

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.