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Finding the Third Proportional to 171,240 and 273,465

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Solution

The third proportional to 171,240 and 273,465 is: 436,715.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,240 : 273,465 = 273,465 : x
  2. Step 2: Convert to fraction form
    171,240/273,465 = 273,465/x
  3. Step 3: Cross multiply
    171,240x = 273,465 × 273,465
  4. Step 4: Simplify right side
    171,240x = 74,783,106,225
  5. Step 5: Solve for x
    x = 74,783,106,225/171,240
  6. Step 6: Final answer
    x = 436,715.17

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.