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Finding the Third Proportional to 666.88 and 1,055.13

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Solution

The third proportional to 666.88 and 1,055.13 is: 1,669.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.88 : 1,055.13 = 1,055.13 : x
  2. Step 2: Convert to fraction form
    666.88/1,055.13 = 1,055.13/x
  3. Step 3: Cross multiply
    666.88x = 1,055.13 × 1,055.13
  4. Step 4: Simplify right side
    666.88x = 1,113,288.77
  5. Step 5: Solve for x
    x = 1,113,288.77/666.88
  6. Step 6: Final answer
    x = 1,669.41

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.