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Finding the Third Proportional to 274,139 and 430,140

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Solution

The third proportional to 274,139 and 430,140 is: 674,914.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,139 : 430,140 = 430,140 : x
  2. Step 2: Convert to fraction form
    274,139/430,140 = 430,140/x
  3. Step 3: Cross multiply
    274,139x = 430,140 × 430,140
  4. Step 4: Simplify right side
    274,139x = 185,020,419,600
  5. Step 5: Solve for x
    x = 185,020,419,600/274,139
  6. Step 6: Final answer
    x = 674,914.62

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.