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Finding the Third Proportional to 856.62 and 1,860.05

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Solution

The third proportional to 856.62 and 1,860.05 is: 4,038.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.62 : 1,860.05 = 1,860.05 : x
  2. Step 2: Convert to fraction form
    856.62/1,860.05 = 1,860.05/x
  3. Step 3: Cross multiply
    856.62x = 1,860.05 × 1,860.05
  4. Step 4: Simplify right side
    856.62x = 3,459,774.38
  5. Step 5: Solve for x
    x = 3,459,774.38/856.62
  6. Step 6: Final answer
    x = 4,038.88

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.