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Finding the Third Proportional to 395,838 and 830,555

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Solution

The third proportional to 395,838 and 830,555 is: 1,742,686.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,838 : 830,555 = 830,555 : x
  2. Step 2: Convert to fraction form
    395,838/830,555 = 830,555/x
  3. Step 3: Cross multiply
    395,838x = 830,555 × 830,555
  4. Step 4: Simplify right side
    395,838x = 689,821,608,025
  5. Step 5: Solve for x
    x = 689,821,608,025/395,838
  6. Step 6: Final answer
    x = 1,742,686.67

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.