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Finding the Third Proportional to 285,756 and 420,098

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Solution

The third proportional to 285,756 and 420,098 is: 617,597.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,756 : 420,098 = 420,098 : x
  2. Step 2: Convert to fraction form
    285,756/420,098 = 420,098/x
  3. Step 3: Cross multiply
    285,756x = 420,098 × 420,098
  4. Step 4: Simplify right side
    285,756x = 176,482,329,604
  5. Step 5: Solve for x
    x = 176,482,329,604/285,756
  6. Step 6: Final answer
    x = 617,597.98

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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.