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Finding the Third Proportional to 289,057.50 and 431,991

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Solution

The third proportional to 289,057.50 and 431,991 is: 645,602.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,057.50 : 431,991 = 431,991 : x
  2. Step 2: Convert to fraction form
    289,057.50/431,991 = 431,991/x
  3. Step 3: Cross multiply
    289,057.50x = 431,991 × 431,991
  4. Step 4: Simplify right side
    289,057.50x = 186,616,224,081
  5. Step 5: Solve for x
    x = 186,616,224,081/289,057.50
  6. Step 6: Final answer
    x = 645,602.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.