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Finding the Third Proportional to 259,170 and 392,386

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Solution

The third proportional to 259,170 and 392,386 is: 594,076.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,170 : 392,386 = 392,386 : x
  2. Step 2: Convert to fraction form
    259,170/392,386 = 392,386/x
  3. Step 3: Cross multiply
    259,170x = 392,386 × 392,386
  4. Step 4: Simplify right side
    259,170x = 153,966,772,996
  5. Step 5: Solve for x
    x = 153,966,772,996/259,170
  6. Step 6: Final answer
    x = 594,076.37

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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.