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Finding the Third Proportional to 745.88 and 1,656.19

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Solution

The third proportional to 745.88 and 1,656.19 is: 3,677.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.88 : 1,656.19 = 1,656.19 : x
  2. Step 2: Convert to fraction form
    745.88/1,656.19 = 1,656.19/x
  3. Step 3: Cross multiply
    745.88x = 1,656.19 × 1,656.19
  4. Step 4: Simplify right side
    745.88x = 2,742,957.04
  5. Step 5: Solve for x
    x = 2,742,957.04/745.88
  6. Step 6: Final answer
    x = 3,677.50

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.