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Finding the Third Proportional to 424,806 and 918,444

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Solution

The third proportional to 424,806 and 918,444 is: 1,985,704.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,806 : 918,444 = 918,444 : x
  2. Step 2: Convert to fraction form
    424,806/918,444 = 918,444/x
  3. Step 3: Cross multiply
    424,806x = 918,444 × 918,444
  4. Step 4: Simplify right side
    424,806x = 843,539,381,136
  5. Step 5: Solve for x
    x = 843,539,381,136/424,806
  6. Step 6: Final answer
    x = 1,985,704.96

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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.