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Finding the Third Proportional to 869.06 and 1,886.63

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Solution

The third proportional to 869.06 and 1,886.63 is: 4,095.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.06 : 1,886.63 = 1,886.63 : x
  2. Step 2: Convert to fraction form
    869.06/1,886.63 = 1,886.63/x
  3. Step 3: Cross multiply
    869.06x = 1,886.63 × 1,886.63
  4. Step 4: Simplify right side
    869.06x = 3,559,353.89
  5. Step 5: Solve for x
    x = 3,559,353.89/869.06
  6. Step 6: Final answer
    x = 4,095.62

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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.