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Finding the Third Proportional to 277,100 and 420,024

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Solution

The third proportional to 277,100 and 420,024 is: 636,666.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,100 : 420,024 = 420,024 : x
  2. Step 2: Convert to fraction form
    277,100/420,024 = 420,024/x
  3. Step 3: Cross multiply
    277,100x = 420,024 × 420,024
  4. Step 4: Simplify right side
    277,100x = 176,420,160,576
  5. Step 5: Solve for x
    x = 176,420,160,576/277,100
  6. Step 6: Final answer
    x = 636,666.04

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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.