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Finding the Third Proportional to 274,126 and 423,640

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Solution

The third proportional to 274,126 and 423,640 is: 654,702.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,126 : 423,640 = 423,640 : x
  2. Step 2: Convert to fraction form
    274,126/423,640 = 423,640/x
  3. Step 3: Cross multiply
    274,126x = 423,640 × 423,640
  4. Step 4: Simplify right side
    274,126x = 179,470,849,600
  5. Step 5: Solve for x
    x = 179,470,849,600/274,126
  6. Step 6: Final answer
    x = 654,702.03

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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.