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Finding the Third Proportional to 253,440 and 589,312

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Solution

The third proportional to 253,440 and 589,312 is: 1,370,299.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,440 : 589,312 = 589,312 : x
  2. Step 2: Convert to fraction form
    253,440/589,312 = 589,312/x
  3. Step 3: Cross multiply
    253,440x = 589,312 × 589,312
  4. Step 4: Simplify right side
    253,440x = 347,288,633,344
  5. Step 5: Solve for x
    x = 347,288,633,344/253,440
  6. Step 6: Final answer
    x = 1,370,299.22

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.