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Finding the Third Proportional to 513,638 and 798,432

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Solution

The third proportional to 513,638 and 798,432 is: 1,241,134.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,638 : 798,432 = 798,432 : x
  2. Step 2: Convert to fraction form
    513,638/798,432 = 798,432/x
  3. Step 3: Cross multiply
    513,638x = 798,432 × 798,432
  4. Step 4: Simplify right side
    513,638x = 637,493,658,624
  5. Step 5: Solve for x
    x = 637,493,658,624/513,638
  6. Step 6: Final answer
    x = 1,241,134.14

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.