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Finding the Third Proportional to 89,640 and 130,254

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Solution

The third proportional to 89,640 and 130,254 is: 189,269.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,640 : 130,254 = 130,254 : x
  2. Step 2: Convert to fraction form
    89,640/130,254 = 130,254/x
  3. Step 3: Cross multiply
    89,640x = 130,254 × 130,254
  4. Step 4: Simplify right side
    89,640x = 16,966,104,516
  5. Step 5: Solve for x
    x = 16,966,104,516/89,640
  6. Step 6: Final answer
    x = 189,269.35

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.