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Finding the Third Proportional to 274,132 and 430,130

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Solution

The third proportional to 274,132 and 430,130 is: 674,900.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,132 : 430,130 = 430,130 : x
  2. Step 2: Convert to fraction form
    274,132/430,130 = 430,130/x
  3. Step 3: Cross multiply
    274,132x = 430,130 × 430,130
  4. Step 4: Simplify right side
    274,132x = 185,011,816,900
  5. Step 5: Solve for x
    x = 185,011,816,900/274,132
  6. Step 6: Final answer
    x = 674,900.47

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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.