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Finding the Third Proportional to 185,280 and 390,976

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Solution

The third proportional to 185,280 and 390,976 is: 825,033.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,280 : 390,976 = 390,976 : x
  2. Step 2: Convert to fraction form
    185,280/390,976 = 390,976/x
  3. Step 3: Cross multiply
    185,280x = 390,976 × 390,976
  4. Step 4: Simplify right side
    185,280x = 152,862,232,576
  5. Step 5: Solve for x
    x = 152,862,232,576/185,280
  6. Step 6: Final answer
    x = 825,033.64

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.