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Finding the Third Proportional to 513,621 and 798,407

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Solution

The third proportional to 513,621 and 798,407 is: 1,241,097.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,621 : 798,407 = 798,407 : x
  2. Step 2: Convert to fraction form
    513,621/798,407 = 798,407/x
  3. Step 3: Cross multiply
    513,621x = 798,407 × 798,407
  4. Step 4: Simplify right side
    513,621x = 637,453,737,649
  5. Step 5: Solve for x
    x = 637,453,737,649/513,621
  6. Step 6: Final answer
    x = 1,241,097.50

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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.