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Finding the Third Proportional to 256,155.75 and 382,153.50

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Solution

The third proportional to 256,155.75 and 382,153.50 is: 570,126.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,155.75 : 382,153.50 = 382,153.50 : x
  2. Step 2: Convert to fraction form
    256,155.75/382,153.50 = 382,153.50/x
  3. Step 3: Cross multiply
    256,155.75x = 382,153.50 × 382,153.50
  4. Step 4: Simplify right side
    256,155.75x = 146,041,297,562.25
  5. Step 5: Solve for x
    x = 146,041,297,562.25/256,155.75
  6. Step 6: Final answer
    x = 570,126.95

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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.