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Finding the Third Proportional to 386,310 and 614,697

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Solution

The third proportional to 386,310 and 614,697 is: 978,106.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,310 : 614,697 = 614,697 : x
  2. Step 2: Convert to fraction form
    386,310/614,697 = 614,697/x
  3. Step 3: Cross multiply
    386,310x = 614,697 × 614,697
  4. Step 4: Simplify right side
    386,310x = 377,852,401,809
  5. Step 5: Solve for x
    x = 377,852,401,809/386,310
  6. Step 6: Final answer
    x = 978,106.71

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.