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Finding the Third Proportional to 301,148 and 654,782

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Solution

The third proportional to 301,148 and 654,782 is: 1,423,683.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,148 : 654,782 = 654,782 : x
  2. Step 2: Convert to fraction form
    301,148/654,782 = 654,782/x
  3. Step 3: Cross multiply
    301,148x = 654,782 × 654,782
  4. Step 4: Simplify right side
    301,148x = 428,739,467,524
  5. Step 5: Solve for x
    x = 428,739,467,524/301,148
  6. Step 6: Final answer
    x = 1,423,683.60

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.