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Finding the Third Proportional to 6,445 and 7,066

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Solution

The third proportional to 6,445 and 7,066 is: 7,746.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,445 : 7,066 = 7,066 : x
  2. Step 2: Convert to fraction form
    6,445/7,066 = 7,066/x
  3. Step 3: Cross multiply
    6,445x = 7,066 × 7,066
  4. Step 4: Simplify right side
    6,445x = 49,928,356
  5. Step 5: Solve for x
    x = 49,928,356/6,445
  6. Step 6: Final answer
    x = 7,746.84

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.