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Finding the Third Proportional to 255,570 and 371,454

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Solution

The third proportional to 255,570 and 371,454 is: 539,883.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,570 : 371,454 = 371,454 : x
  2. Step 2: Convert to fraction form
    255,570/371,454 = 371,454/x
  3. Step 3: Cross multiply
    255,570x = 371,454 × 371,454
  4. Step 4: Simplify right side
    255,570x = 137,978,074,116
  5. Step 5: Solve for x
    x = 137,978,074,116/255,570
  6. Step 6: Final answer
    x = 539,883.69

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.