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Finding the Third Proportional to 30,312 and 40,774

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Solution

The third proportional to 30,312 and 40,774 is: 54,846.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,312 : 40,774 = 40,774 : x
  2. Step 2: Convert to fraction form
    30,312/40,774 = 40,774/x
  3. Step 3: Cross multiply
    30,312x = 40,774 × 40,774
  4. Step 4: Simplify right side
    30,312x = 1,662,519,076
  5. Step 5: Solve for x
    x = 1,662,519,076/30,312
  6. Step 6: Final answer
    x = 54,846.89

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.