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Finding the Third Proportional to 285,907 and 420,545

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Solution

The third proportional to 285,907 and 420,545 is: 618,586.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,907 : 420,545 = 420,545 : x
  2. Step 2: Convert to fraction form
    285,907/420,545 = 420,545/x
  3. Step 3: Cross multiply
    285,907x = 420,545 × 420,545
  4. Step 4: Simplify right side
    285,907x = 176,858,097,025
  5. Step 5: Solve for x
    x = 176,858,097,025/285,907
  6. Step 6: Final answer
    x = 618,586.10

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.