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Finding the Third Proportional to 428.34 and 612.98

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Solution

The third proportional to 428.34 and 612.98 is: 877.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.34 : 612.98 = 612.98 : x
  2. Step 2: Convert to fraction form
    428.34/612.98 = 612.98/x
  3. Step 3: Cross multiply
    428.34x = 612.98 × 612.98
  4. Step 4: Simplify right side
    428.34x = 375,749.84
  5. Step 5: Solve for x
    x = 375,749.84/428.34
  6. Step 6: Final answer
    x = 877.22

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.