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Finding the Third Proportional to 280,650 and 427,980

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Solution

The third proportional to 280,650 and 427,980 is: 652,652.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,650 : 427,980 = 427,980 : x
  2. Step 2: Convert to fraction form
    280,650/427,980 = 427,980/x
  3. Step 3: Cross multiply
    280,650x = 427,980 × 427,980
  4. Step 4: Simplify right side
    280,650x = 183,166,880,400
  5. Step 5: Solve for x
    x = 183,166,880,400/280,650
  6. Step 6: Final answer
    x = 652,652.34

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.