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Finding the Third Proportional to 255,746 and 382,851

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Solution

The third proportional to 255,746 and 382,851 is: 573,126.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,746 : 382,851 = 382,851 : x
  2. Step 2: Convert to fraction form
    255,746/382,851 = 382,851/x
  3. Step 3: Cross multiply
    255,746x = 382,851 × 382,851
  4. Step 4: Simplify right side
    255,746x = 146,574,888,201
  5. Step 5: Solve for x
    x = 146,574,888,201/255,746
  6. Step 6: Final answer
    x = 573,126.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.