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Finding the Third Proportional to 259,222.50 and 370,689.75

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Solution

The third proportional to 259,222.50 and 370,689.75 is: 530,088.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,222.50 : 370,689.75 = 370,689.75 : x
  2. Step 2: Convert to fraction form
    259,222.50/370,689.75 = 370,689.75/x
  3. Step 3: Cross multiply
    259,222.50x = 370,689.75 × 370,689.75
  4. Step 4: Simplify right side
    259,222.50x = 137,410,890,755.06
  5. Step 5: Solve for x
    x = 137,410,890,755.06/259,222.50
  6. Step 6: Final answer
    x = 530,088.59

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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.