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Finding the Third Proportional to 856.51 and 1,871.54

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Solution

The third proportional to 856.51 and 1,871.54 is: 4,089.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.51 : 1,871.54 = 1,871.54 : x
  2. Step 2: Convert to fraction form
    856.51/1,871.54 = 1,871.54/x
  3. Step 3: Cross multiply
    856.51x = 1,871.54 × 1,871.54
  4. Step 4: Simplify right side
    856.51x = 3,502,673.08
  5. Step 5: Solve for x
    x = 3,502,673.08/856.51
  6. Step 6: Final answer
    x = 4,089.46

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.