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Finding the Third Proportional to 424,324 and 915,064

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Solution

The third proportional to 424,324 and 915,064 is: 1,973,355.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,324 : 915,064 = 915,064 : x
  2. Step 2: Convert to fraction form
    424,324/915,064 = 915,064/x
  3. Step 3: Cross multiply
    424,324x = 915,064 × 915,064
  4. Step 4: Simplify right side
    424,324x = 837,342,124,096
  5. Step 5: Solve for x
    x = 837,342,124,096/424,324
  6. Step 6: Final answer
    x = 1,973,355.56

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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.