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Finding the Third Proportional to 508,153.50 and 787,299.75

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Solution

The third proportional to 508,153.50 and 787,299.75 is: 1,219,790.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,153.50 : 787,299.75 = 787,299.75 : x
  2. Step 2: Convert to fraction form
    508,153.50/787,299.75 = 787,299.75/x
  3. Step 3: Cross multiply
    508,153.50x = 787,299.75 × 787,299.75
  4. Step 4: Simplify right side
    508,153.50x = 619,840,896,350.06
  5. Step 5: Solve for x
    x = 619,840,896,350.06/508,153.50
  6. Step 6: Final answer
    x = 1,219,790.67

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.