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Finding the Third Proportional to 319,666.50 and 426,465

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Solution

The third proportional to 319,666.50 and 426,465 is: 568,944.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,666.50 : 426,465 = 426,465 : x
  2. Step 2: Convert to fraction form
    319,666.50/426,465 = 426,465/x
  3. Step 3: Cross multiply
    319,666.50x = 426,465 × 426,465
  4. Step 4: Simplify right side
    319,666.50x = 181,872,396,225
  5. Step 5: Solve for x
    x = 181,872,396,225/319,666.50
  6. Step 6: Final answer
    x = 568,944.18

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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.