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Finding the Third Proportional to 14,280 and 18,140

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Solution

The third proportional to 14,280 and 18,140 is: 23,043.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,280 : 18,140 = 18,140 : x
  2. Step 2: Convert to fraction form
    14,280/18,140 = 18,140/x
  3. Step 3: Cross multiply
    14,280x = 18,140 × 18,140
  4. Step 4: Simplify right side
    14,280x = 329,059,600
  5. Step 5: Solve for x
    x = 329,059,600/14,280
  6. Step 6: Final answer
    x = 23,043.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.