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Finding the Third Proportional to 274,905 and 425,658

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Solution

The third proportional to 274,905 and 425,658 is: 659,081.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,905 : 425,658 = 425,658 : x
  2. Step 2: Convert to fraction form
    274,905/425,658 = 425,658/x
  3. Step 3: Cross multiply
    274,905x = 425,658 × 425,658
  4. Step 4: Simplify right side
    274,905x = 181,184,732,964
  5. Step 5: Solve for x
    x = 181,184,732,964/274,905
  6. Step 6: Final answer
    x = 659,081.26

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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.