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Finding the Third Proportional to 653.16 and 1,406.30

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Solution

The third proportional to 653.16 and 1,406.30 is: 3,027.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.16 : 1,406.30 = 1,406.30 : x
  2. Step 2: Convert to fraction form
    653.16/1,406.30 = 1,406.30/x
  3. Step 3: Cross multiply
    653.16x = 1,406.30 × 1,406.30
  4. Step 4: Simplify right side
    653.16x = 1,977,670.90
  5. Step 5: Solve for x
    x = 1,977,670.90/653.16
  6. Step 6: Final answer
    x = 3,027.87

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.