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Finding the Third Proportional to 301,145 and 654,778

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Solution

The third proportional to 301,145 and 654,778 is: 1,423,680.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,145 : 654,778 = 654,778 : x
  2. Step 2: Convert to fraction form
    301,145/654,778 = 654,778/x
  3. Step 3: Cross multiply
    301,145x = 654,778 × 654,778
  4. Step 4: Simplify right side
    301,145x = 428,734,229,284
  5. Step 5: Solve for x
    x = 428,734,229,284/301,145
  6. Step 6: Final answer
    x = 1,423,680.38

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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.