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Finding the Third Proportional to 281,760 and 417,984

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Solution

The third proportional to 281,760 and 417,984 is: 620,068.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,760 : 417,984 = 417,984 : x
  2. Step 2: Convert to fraction form
    281,760/417,984 = 417,984/x
  3. Step 3: Cross multiply
    281,760x = 417,984 × 417,984
  4. Step 4: Simplify right side
    281,760x = 174,710,624,256
  5. Step 5: Solve for x
    x = 174,710,624,256/281,760
  6. Step 6: Final answer
    x = 620,068.94

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.