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Finding the Third Proportional to 134,433 and 289,818

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Solution

The third proportional to 134,433 and 289,818 is: 624,805.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,433 : 289,818 = 289,818 : x
  2. Step 2: Convert to fraction form
    134,433/289,818 = 289,818/x
  3. Step 3: Cross multiply
    134,433x = 289,818 × 289,818
  4. Step 4: Simplify right side
    134,433x = 83,994,473,124
  5. Step 5: Solve for x
    x = 83,994,473,124/134,433
  6. Step 6: Final answer
    x = 624,805.47

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.