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Finding the Third Proportional to 152,419.50 and 217,419.75

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Solution

The third proportional to 152,419.50 and 217,419.75 is: 310,139.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,419.50 : 217,419.75 = 217,419.75 : x
  2. Step 2: Convert to fraction form
    152,419.50/217,419.75 = 217,419.75/x
  3. Step 3: Cross multiply
    152,419.50x = 217,419.75 × 217,419.75
  4. Step 4: Simplify right side
    152,419.50x = 47,271,347,690.06
  5. Step 5: Solve for x
    x = 47,271,347,690.06/152,419.50
  6. Step 6: Final answer
    x = 310,139.76

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.