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Finding the Third Proportional to 298,647 and 462,416.25

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Solution

The third proportional to 298,647 and 462,416.25 is: 715,991.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,647 : 462,416.25 = 462,416.25 : x
  2. Step 2: Convert to fraction form
    298,647/462,416.25 = 462,416.25/x
  3. Step 3: Cross multiply
    298,647x = 462,416.25 × 462,416.25
  4. Step 4: Simplify right side
    298,647x = 213,828,788,264.06
  5. Step 5: Solve for x
    x = 213,828,788,264.06/298,647
  6. Step 6: Final answer
    x = 715,991.75

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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.