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Finding the Third Proportional to 782.81 and 1,820.16

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Solution

The third proportional to 782.81 and 1,820.16 is: 4,232.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.81 : 1,820.16 = 1,820.16 : x
  2. Step 2: Convert to fraction form
    782.81/1,820.16 = 1,820.16/x
  3. Step 3: Cross multiply
    782.81x = 1,820.16 × 1,820.16
  4. Step 4: Simplify right side
    782.81x = 3,312,968.77
  5. Step 5: Solve for x
    x = 3,312,968.77/782.81
  6. Step 6: Final answer
    x = 4,232.14

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.