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Finding the Third Proportional to 256,354 and 382,407

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Solution

The third proportional to 256,354 and 382,407 is: 570,442.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,354 : 382,407 = 382,407 : x
  2. Step 2: Convert to fraction form
    256,354/382,407 = 382,407/x
  3. Step 3: Cross multiply
    256,354x = 382,407 × 382,407
  4. Step 4: Simplify right side
    256,354x = 146,235,113,649
  5. Step 5: Solve for x
    x = 146,235,113,649/256,354
  6. Step 6: Final answer
    x = 570,442.10

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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.