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Finding the Third Proportional to 137,911.50 and 210,880.50

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Solution

The third proportional to 137,911.50 and 210,880.50 is: 322,457.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,911.50 : 210,880.50 = 210,880.50 : x
  2. Step 2: Convert to fraction form
    137,911.50/210,880.50 = 210,880.50/x
  3. Step 3: Cross multiply
    137,911.50x = 210,880.50 × 210,880.50
  4. Step 4: Simplify right side
    137,911.50x = 44,470,585,280.25
  5. Step 5: Solve for x
    x = 44,470,585,280.25/137,911.50
  6. Step 6: Final answer
    x = 322,457.41

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.