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Finding the Third Proportional to 274,088 and 411,140

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Solution

The third proportional to 274,088 and 411,140 is: 616,722.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,088 : 411,140 = 411,140 : x
  2. Step 2: Convert to fraction form
    274,088/411,140 = 411,140/x
  3. Step 3: Cross multiply
    274,088x = 411,140 × 411,140
  4. Step 4: Simplify right side
    274,088x = 169,036,099,600
  5. Step 5: Solve for x
    x = 169,036,099,600/274,088
  6. Step 6: Final answer
    x = 616,722.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.