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Finding the Third Proportional to 259,816.50 and 390,489.75

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Solution

The third proportional to 259,816.50 and 390,489.75 is: 586,884.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,816.50 : 390,489.75 = 390,489.75 : x
  2. Step 2: Convert to fraction form
    259,816.50/390,489.75 = 390,489.75/x
  3. Step 3: Cross multiply
    259,816.50x = 390,489.75 × 390,489.75
  4. Step 4: Simplify right side
    259,816.50x = 152,482,244,855.06
  5. Step 5: Solve for x
    x = 152,482,244,855.06/259,816.50
  6. Step 6: Final answer
    x = 586,884.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.