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Finding the Third Proportional to 239,819 and 369,053

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Solution

The third proportional to 239,819 and 369,053 is: 567,928.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,819 : 369,053 = 369,053 : x
  2. Step 2: Convert to fraction form
    239,819/369,053 = 369,053/x
  3. Step 3: Cross multiply
    239,819x = 369,053 × 369,053
  4. Step 4: Simplify right side
    239,819x = 136,200,116,809
  5. Step 5: Solve for x
    x = 136,200,116,809/239,819
  6. Step 6: Final answer
    x = 567,928.80

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.