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Finding the Third Proportional to 303,460 and 664,970

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Solution

The third proportional to 303,460 and 664,970 is: 1,457,144.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,460 : 664,970 = 664,970 : x
  2. Step 2: Convert to fraction form
    303,460/664,970 = 664,970/x
  3. Step 3: Cross multiply
    303,460x = 664,970 × 664,970
  4. Step 4: Simplify right side
    303,460x = 442,185,100,900
  5. Step 5: Solve for x
    x = 442,185,100,900/303,460
  6. Step 6: Final answer
    x = 1,457,144.60

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.