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Finding the Third Proportional to 405.70 and 882.28

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Solution

The third proportional to 405.70 and 882.28 is: 1,918.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.70 : 882.28 = 882.28 : x
  2. Step 2: Convert to fraction form
    405.70/882.28 = 882.28/x
  3. Step 3: Cross multiply
    405.70x = 882.28 × 882.28
  4. Step 4: Simplify right side
    405.70x = 778,420.20
  5. Step 5: Solve for x
    x = 778,420.20/405.70
  6. Step 6: Final answer
    x = 1,918.69

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.