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Finding the Third Proportional to 1,289.67 and 1,973.11

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Solution

The third proportional to 1,289.67 and 1,973.11 is: 3,018.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,289.67 : 1,973.11 = 1,973.11 : x
  2. Step 2: Convert to fraction form
    1,289.67/1,973.11 = 1,973.11/x
  3. Step 3: Cross multiply
    1,289.67x = 1,973.11 × 1,973.11
  4. Step 4: Simplify right side
    1,289.67x = 3,893,160.61
  5. Step 5: Solve for x
    x = 3,893,160.61/1,289.67
  6. Step 6: Final answer
    x = 3,018.72

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.