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Finding the Third Proportional to 395,848 and 830,580

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Solution

The third proportional to 395,848 and 830,580 is: 1,742,747.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,848 : 830,580 = 830,580 : x
  2. Step 2: Convert to fraction form
    395,848/830,580 = 830,580/x
  3. Step 3: Cross multiply
    395,848x = 830,580 × 830,580
  4. Step 4: Simplify right side
    395,848x = 689,863,136,400
  5. Step 5: Solve for x
    x = 689,863,136,400/395,848
  6. Step 6: Final answer
    x = 1,742,747.56

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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.