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Finding the Third Proportional to 426,330 and 920,970

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Solution

The third proportional to 426,330 and 920,970 is: 1,989,505.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,330 : 920,970 = 920,970 : x
  2. Step 2: Convert to fraction form
    426,330/920,970 = 920,970/x
  3. Step 3: Cross multiply
    426,330x = 920,970 × 920,970
  4. Step 4: Simplify right side
    426,330x = 848,185,740,900
  5. Step 5: Solve for x
    x = 848,185,740,900/426,330
  6. Step 6: Final answer
    x = 1,989,505.17

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.