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Finding the Third Proportional to 666.19 and 1,045.03

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Solution

The third proportional to 666.19 and 1,045.03 is: 1,639.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.19 : 1,045.03 = 1,045.03 : x
  2. Step 2: Convert to fraction form
    666.19/1,045.03 = 1,045.03/x
  3. Step 3: Cross multiply
    666.19x = 1,045.03 × 1,045.03
  4. Step 4: Simplify right side
    666.19x = 1,092,090.31
  5. Step 5: Solve for x
    x = 1,092,090.31/666.19
  6. Step 6: Final answer
    x = 1,639.31

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.