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Finding the Third Proportional to 142,930 and 301,717

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Solution

The third proportional to 142,930 and 301,717 is: 636,907.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,930 : 301,717 = 301,717 : x
  2. Step 2: Convert to fraction form
    142,930/301,717 = 301,717/x
  3. Step 3: Cross multiply
    142,930x = 301,717 × 301,717
  4. Step 4: Simplify right side
    142,930x = 91,033,148,089
  5. Step 5: Solve for x
    x = 91,033,148,089/142,930
  6. Step 6: Final answer
    x = 636,907.21

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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.