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Finding the Third Proportional to 518,856.75 and 662,981.25

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Solution

The third proportional to 518,856.75 and 662,981.25 is: 847,139.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,856.75 : 662,981.25 = 662,981.25 : x
  2. Step 2: Convert to fraction form
    518,856.75/662,981.25 = 662,981.25/x
  3. Step 3: Cross multiply
    518,856.75x = 662,981.25 × 662,981.25
  4. Step 4: Simplify right side
    518,856.75x = 439,544,137,851.56
  5. Step 5: Solve for x
    x = 439,544,137,851.56/518,856.75
  6. Step 6: Final answer
    x = 847,139.67

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.