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Finding the Third Proportional to 434.50 and 619.19

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Solution

The third proportional to 434.50 and 619.19 is: 882.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.50 : 619.19 = 619.19 : x
  2. Step 2: Convert to fraction form
    434.50/619.19 = 619.19/x
  3. Step 3: Cross multiply
    434.50x = 619.19 × 619.19
  4. Step 4: Simplify right side
    434.50x = 383,393.16
  5. Step 5: Solve for x
    x = 383,393.16/434.50
  6. Step 6: Final answer
    x = 882.38

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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.