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Finding the Third Proportional to 282,096 and 386,820

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Solution

The third proportional to 282,096 and 386,820 is: 530,421.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,096 : 386,820 = 386,820 : x
  2. Step 2: Convert to fraction form
    282,096/386,820 = 386,820/x
  3. Step 3: Cross multiply
    282,096x = 386,820 × 386,820
  4. Step 4: Simplify right side
    282,096x = 149,629,712,400
  5. Step 5: Solve for x
    x = 149,629,712,400/282,096
  6. Step 6: Final answer
    x = 530,421.25

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.