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Finding the Third Proportional to 27,312 and 43,440

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Solution

The third proportional to 27,312 and 43,440 is: 69,091.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,312 : 43,440 = 43,440 : x
  2. Step 2: Convert to fraction form
    27,312/43,440 = 43,440/x
  3. Step 3: Cross multiply
    27,312x = 43,440 × 43,440
  4. Step 4: Simplify right side
    27,312x = 1,887,033,600
  5. Step 5: Solve for x
    x = 1,887,033,600/27,312
  6. Step 6: Final answer
    x = 69,091.74

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.