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Finding the Third Proportional to 286,758 and 401,076

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Solution

The third proportional to 286,758 and 401,076 is: 560,967.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,758 : 401,076 = 401,076 : x
  2. Step 2: Convert to fraction form
    286,758/401,076 = 401,076/x
  3. Step 3: Cross multiply
    286,758x = 401,076 × 401,076
  4. Step 4: Simplify right side
    286,758x = 160,861,957,776
  5. Step 5: Solve for x
    x = 160,861,957,776/286,758
  6. Step 6: Final answer
    x = 560,967.64

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.