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Finding the Third Proportional to 258,046 and 398,576

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Solution

The third proportional to 258,046 and 398,576 is: 615,637.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,046 : 398,576 = 398,576 : x
  2. Step 2: Convert to fraction form
    258,046/398,576 = 398,576/x
  3. Step 3: Cross multiply
    258,046x = 398,576 × 398,576
  4. Step 4: Simplify right side
    258,046x = 158,862,827,776
  5. Step 5: Solve for x
    x = 158,862,827,776/258,046
  6. Step 6: Final answer
    x = 615,637.63

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.