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Finding the Third Proportional to 5,557.59 and 9,881.63

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Solution

The third proportional to 5,557.59 and 9,881.63 is: 17,569.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,557.59 : 9,881.63 = 9,881.63 : x
  2. Step 2: Convert to fraction form
    5,557.59/9,881.63 = 9,881.63/x
  3. Step 3: Cross multiply
    5,557.59x = 9,881.63 × 9,881.63
  4. Step 4: Simplify right side
    5,557.59x = 97,646,512.64
  5. Step 5: Solve for x
    x = 97,646,512.64/5,557.59
  6. Step 6: Final answer
    x = 17,569.93

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.