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Finding the Third Proportional to 290,298 and 439,823

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Solution

The third proportional to 290,298 and 439,823 is: 666,364.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,298 : 439,823 = 439,823 : x
  2. Step 2: Convert to fraction form
    290,298/439,823 = 439,823/x
  3. Step 3: Cross multiply
    290,298x = 439,823 × 439,823
  4. Step 4: Simplify right side
    290,298x = 193,444,271,329
  5. Step 5: Solve for x
    x = 193,444,271,329/290,298
  6. Step 6: Final answer
    x = 666,364.46

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.