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Finding the Third Proportional to 431,724 and 926,880

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Solution

The third proportional to 431,724 and 926,880 is: 1,989,943.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,724 : 926,880 = 926,880 : x
  2. Step 2: Convert to fraction form
    431,724/926,880 = 926,880/x
  3. Step 3: Cross multiply
    431,724x = 926,880 × 926,880
  4. Step 4: Simplify right side
    431,724x = 859,106,534,400
  5. Step 5: Solve for x
    x = 859,106,534,400/431,724
  6. Step 6: Final answer
    x = 1,989,943.89

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.