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Finding the Third Proportional to 256,780 and 375,660

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Solution

The third proportional to 256,780 and 375,660 is: 549,577.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,780 : 375,660 = 375,660 : x
  2. Step 2: Convert to fraction form
    256,780/375,660 = 375,660/x
  3. Step 3: Cross multiply
    256,780x = 375,660 × 375,660
  4. Step 4: Simplify right side
    256,780x = 141,120,435,600
  5. Step 5: Solve for x
    x = 141,120,435,600/256,780
  6. Step 6: Final answer
    x = 549,577.21

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.