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Finding the Third Proportional to 321,277.50 and 426,465

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Solution

The third proportional to 321,277.50 and 426,465 is: 566,091.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,277.50 : 426,465 = 426,465 : x
  2. Step 2: Convert to fraction form
    321,277.50/426,465 = 426,465/x
  3. Step 3: Cross multiply
    321,277.50x = 426,465 × 426,465
  4. Step 4: Simplify right side
    321,277.50x = 181,872,396,225
  5. Step 5: Solve for x
    x = 181,872,396,225/321,277.50
  6. Step 6: Final answer
    x = 566,091.30

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.