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Finding the Third Proportional to 288,096 and 455,823

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Solution

The third proportional to 288,096 and 455,823 is: 721,199.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,096 : 455,823 = 455,823 : x
  2. Step 2: Convert to fraction form
    288,096/455,823 = 455,823/x
  3. Step 3: Cross multiply
    288,096x = 455,823 × 455,823
  4. Step 4: Simplify right side
    288,096x = 207,774,607,329
  5. Step 5: Solve for x
    x = 207,774,607,329/288,096
  6. Step 6: Final answer
    x = 721,199.21

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.