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Finding the Third Proportional to 424,986 and 915,546

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Solution

The third proportional to 424,986 and 915,546 is: 1,972,357.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,986 : 915,546 = 915,546 : x
  2. Step 2: Convert to fraction form
    424,986/915,546 = 915,546/x
  3. Step 3: Cross multiply
    424,986x = 915,546 × 915,546
  4. Step 4: Simplify right side
    424,986x = 838,224,478,116
  5. Step 5: Solve for x
    x = 838,224,478,116/424,986
  6. Step 6: Final answer
    x = 1,972,357.86

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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.