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Finding the Third Proportional to 248,988 and 389,028

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Solution

The third proportional to 248,988 and 389,028 is: 607,831.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,988 : 389,028 = 389,028 : x
  2. Step 2: Convert to fraction form
    248,988/389,028 = 389,028/x
  3. Step 3: Cross multiply
    248,988x = 389,028 × 389,028
  4. Step 4: Simplify right side
    248,988x = 151,342,784,784
  5. Step 5: Solve for x
    x = 151,342,784,784/248,988
  6. Step 6: Final answer
    x = 607,831.64

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.