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Finding the Third Proportional to 255,769 and 382,074

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Solution

The third proportional to 255,769 and 382,074 is: 570,751.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,769 : 382,074 = 382,074 : x
  2. Step 2: Convert to fraction form
    255,769/382,074 = 382,074/x
  3. Step 3: Cross multiply
    255,769x = 382,074 × 382,074
  4. Step 4: Simplify right side
    255,769x = 145,980,541,476
  5. Step 5: Solve for x
    x = 145,980,541,476/255,769
  6. Step 6: Final answer
    x = 570,751.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.