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Finding the Third Proportional to 15,880.50 and 23,345

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Solution

The third proportional to 15,880.50 and 23,345 is: 34,318.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,880.50 : 23,345 = 23,345 : x
  2. Step 2: Convert to fraction form
    15,880.50/23,345 = 23,345/x
  3. Step 3: Cross multiply
    15,880.50x = 23,345 × 23,345
  4. Step 4: Simplify right side
    15,880.50x = 544,989,025
  5. Step 5: Solve for x
    x = 544,989,025/15,880.50
  6. Step 6: Final answer
    x = 34,318.13

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.