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Finding the Third Proportional to 361,200 and 830,712

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Solution

The third proportional to 361,200 and 830,712 is: 1,910,527.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,200 : 830,712 = 830,712 : x
  2. Step 2: Convert to fraction form
    361,200/830,712 = 830,712/x
  3. Step 3: Cross multiply
    361,200x = 830,712 × 830,712
  4. Step 4: Simplify right side
    361,200x = 690,082,426,944
  5. Step 5: Solve for x
    x = 690,082,426,944/361,200
  6. Step 6: Final answer
    x = 1,910,527.21

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.