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Finding the Third Proportional to 395,852 and 830,590

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Solution

The third proportional to 395,852 and 830,590 is: 1,742,771.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,852 : 830,590 = 830,590 : x
  2. Step 2: Convert to fraction form
    395,852/830,590 = 830,590/x
  3. Step 3: Cross multiply
    395,852x = 830,590 × 830,590
  4. Step 4: Simplify right side
    395,852x = 689,879,748,100
  5. Step 5: Solve for x
    x = 689,879,748,100/395,852
  6. Step 6: Final answer
    x = 1,742,771.92

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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.