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Finding the Third Proportional to 275,230 and 425,370

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Solution

The third proportional to 275,230 and 425,370 is: 657,412.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,230 : 425,370 = 425,370 : x
  2. Step 2: Convert to fraction form
    275,230/425,370 = 425,370/x
  3. Step 3: Cross multiply
    275,230x = 425,370 × 425,370
  4. Step 4: Simplify right side
    275,230x = 180,939,636,900
  5. Step 5: Solve for x
    x = 180,939,636,900/275,230
  6. Step 6: Final answer
    x = 657,412.48

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.