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Finding the Third Proportional to 299,184 and 439,920

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Solution

The third proportional to 299,184 and 439,920 is: 646,858.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,184 : 439,920 = 439,920 : x
  2. Step 2: Convert to fraction form
    299,184/439,920 = 439,920/x
  3. Step 3: Cross multiply
    299,184x = 439,920 × 439,920
  4. Step 4: Simplify right side
    299,184x = 193,529,606,400
  5. Step 5: Solve for x
    x = 193,529,606,400/299,184
  6. Step 6: Final answer
    x = 646,858.14

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.