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Finding the Third Proportional to 424,965 and 915,504

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Solution

The third proportional to 424,965 and 915,504 is: 1,972,274.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,965 : 915,504 = 915,504 : x
  2. Step 2: Convert to fraction form
    424,965/915,504 = 915,504/x
  3. Step 3: Cross multiply
    424,965x = 915,504 × 915,504
  4. Step 4: Simplify right side
    424,965x = 838,147,574,016
  5. Step 5: Solve for x
    x = 838,147,574,016/424,965
  6. Step 6: Final answer
    x = 1,972,274.36

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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.