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Finding the Third Proportional to 384,651.75 and 518,746.50

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Solution

The third proportional to 384,651.75 and 518,746.50 is: 699,588.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,651.75 : 518,746.50 = 518,746.50 : x
  2. Step 2: Convert to fraction form
    384,651.75/518,746.50 = 518,746.50/x
  3. Step 3: Cross multiply
    384,651.75x = 518,746.50 × 518,746.50
  4. Step 4: Simplify right side
    384,651.75x = 269,097,931,262.25
  5. Step 5: Solve for x
    x = 269,097,931,262.25/384,651.75
  6. Step 6: Final answer
    x = 699,588.48

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.