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Finding the Third Proportional to 159,803 and 355,078

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Solution

The third proportional to 159,803 and 355,078 is: 788,973.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,803 : 355,078 = 355,078 : x
  2. Step 2: Convert to fraction form
    159,803/355,078 = 355,078/x
  3. Step 3: Cross multiply
    159,803x = 355,078 × 355,078
  4. Step 4: Simplify right side
    159,803x = 126,080,386,084
  5. Step 5: Solve for x
    x = 126,080,386,084/159,803
  6. Step 6: Final answer
    x = 788,973.84

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.