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Finding the Third Proportional to 4,109.34 and 8,985.66

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Solution

The third proportional to 4,109.34 and 8,985.66 is: 19,648.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,109.34 : 8,985.66 = 8,985.66 : x
  2. Step 2: Convert to fraction form
    4,109.34/8,985.66 = 8,985.66/x
  3. Step 3: Cross multiply
    4,109.34x = 8,985.66 × 8,985.66
  4. Step 4: Simplify right side
    4,109.34x = 80,742,018.24
  5. Step 5: Solve for x
    x = 80,742,018.24/4,109.34
  6. Step 6: Final answer
    x = 19,648.40

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.