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Finding the Third Proportional to 258,004 and 398,510

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Solution

The third proportional to 258,004 and 398,510 is: 615,533.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,004 : 398,510 = 398,510 : x
  2. Step 2: Convert to fraction form
    258,004/398,510 = 398,510/x
  3. Step 3: Cross multiply
    258,004x = 398,510 × 398,510
  4. Step 4: Simplify right side
    258,004x = 158,810,220,100
  5. Step 5: Solve for x
    x = 158,810,220,100/258,004
  6. Step 6: Final answer
    x = 615,533.95

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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.