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Finding the Third Proportional to 259,668 and 392,310

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Solution

The third proportional to 259,668 and 392,310 is: 592,707.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,668 : 392,310 = 392,310 : x
  2. Step 2: Convert to fraction form
    259,668/392,310 = 392,310/x
  3. Step 3: Cross multiply
    259,668x = 392,310 × 392,310
  4. Step 4: Simplify right side
    259,668x = 153,907,136,100
  5. Step 5: Solve for x
    x = 153,907,136,100/259,668
  6. Step 6: Final answer
    x = 592,707.37

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.