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Finding the Third Proportional to 275,751 and 442,421

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Solution

The third proportional to 275,751 and 442,421 is: 709,830.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,751 : 442,421 = 442,421 : x
  2. Step 2: Convert to fraction form
    275,751/442,421 = 442,421/x
  3. Step 3: Cross multiply
    275,751x = 442,421 × 442,421
  4. Step 4: Simplify right side
    275,751x = 195,736,341,241
  5. Step 5: Solve for x
    x = 195,736,341,241/275,751
  6. Step 6: Final answer
    x = 709,830.03

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.