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Finding the Third Proportional to 274,169 and 408,970.50

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Solution

The third proportional to 274,169 and 408,970.50 is: 610,050.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,169 : 408,970.50 = 408,970.50 : x
  2. Step 2: Convert to fraction form
    274,169/408,970.50 = 408,970.50/x
  3. Step 3: Cross multiply
    274,169x = 408,970.50 × 408,970.50
  4. Step 4: Simplify right side
    274,169x = 167,256,869,870.25
  5. Step 5: Solve for x
    x = 167,256,869,870.25/274,169
  6. Step 6: Final answer
    x = 610,050.26

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.