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Finding the Third Proportional to 255,710 and 397,020

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Solution

The third proportional to 255,710 and 397,020 is: 616,420.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,710 : 397,020 = 397,020 : x
  2. Step 2: Convert to fraction form
    255,710/397,020 = 397,020/x
  3. Step 3: Cross multiply
    255,710x = 397,020 × 397,020
  4. Step 4: Simplify right side
    255,710x = 157,624,880,400
  5. Step 5: Solve for x
    x = 157,624,880,400/255,710
  6. Step 6: Final answer
    x = 616,420.48

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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.