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Finding the Third Proportional to 28,972 and 40,433

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Solution

The third proportional to 28,972 and 40,433 is: 56,427.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,972 : 40,433 = 40,433 : x
  2. Step 2: Convert to fraction form
    28,972/40,433 = 40,433/x
  3. Step 3: Cross multiply
    28,972x = 40,433 × 40,433
  4. Step 4: Simplify right side
    28,972x = 1,634,827,489
  5. Step 5: Solve for x
    x = 1,634,827,489/28,972
  6. Step 6: Final answer
    x = 56,427.84

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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.