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Finding the Third Proportional to 136,424 and 289,072

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Solution

The third proportional to 136,424 and 289,072 is: 612,521.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,424 : 289,072 = 289,072 : x
  2. Step 2: Convert to fraction form
    136,424/289,072 = 289,072/x
  3. Step 3: Cross multiply
    136,424x = 289,072 × 289,072
  4. Step 4: Simplify right side
    136,424x = 83,562,621,184
  5. Step 5: Solve for x
    x = 83,562,621,184/136,424
  6. Step 6: Final answer
    x = 612,521.41

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.