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Finding the Third Proportional to 638.51 and 1,368.14

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Solution

The third proportional to 638.51 and 1,368.14 is: 2,931.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.51 : 1,368.14 = 1,368.14 : x
  2. Step 2: Convert to fraction form
    638.51/1,368.14 = 1,368.14/x
  3. Step 3: Cross multiply
    638.51x = 1,368.14 × 1,368.14
  4. Step 4: Simplify right side
    638.51x = 1,871,808.77
  5. Step 5: Solve for x
    x = 1,871,808.77/638.51
  6. Step 6: Final answer
    x = 2,931.54

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.