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Finding the Third Proportional to 256,777 and 375,657

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Solution

The third proportional to 256,777 and 375,657 is: 549,574.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,777 : 375,657 = 375,657 : x
  2. Step 2: Convert to fraction form
    256,777/375,657 = 375,657/x
  3. Step 3: Cross multiply
    256,777x = 375,657 × 375,657
  4. Step 4: Simplify right side
    256,777x = 141,118,181,649
  5. Step 5: Solve for x
    x = 141,118,181,649/256,777
  6. Step 6: Final answer
    x = 549,574.85

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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.