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Finding the Third Proportional to 407.88 and 882.13

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Solution

The third proportional to 407.88 and 882.13 is: 1,907.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.88 : 882.13 = 882.13 : x
  2. Step 2: Convert to fraction form
    407.88/882.13 = 882.13/x
  3. Step 3: Cross multiply
    407.88x = 882.13 × 882.13
  4. Step 4: Simplify right side
    407.88x = 778,144.52
  5. Step 5: Solve for x
    x = 778,144.52/407.88
  6. Step 6: Final answer
    x = 1,907.80

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.