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Finding the Third Proportional to 289,546 and 442,929

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Solution

The third proportional to 289,546 and 442,929 is: 677,564.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,546 : 442,929 = 442,929 : x
  2. Step 2: Convert to fraction form
    289,546/442,929 = 442,929/x
  3. Step 3: Cross multiply
    289,546x = 442,929 × 442,929
  4. Step 4: Simplify right side
    289,546x = 196,186,099,041
  5. Step 5: Solve for x
    x = 196,186,099,041/289,546
  6. Step 6: Final answer
    x = 677,564.53

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.