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Finding the Third Proportional to 256,710 and 385,065

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Solution

The third proportional to 256,710 and 385,065 is: 577,597.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,710 : 385,065 = 385,065 : x
  2. Step 2: Convert to fraction form
    256,710/385,065 = 385,065/x
  3. Step 3: Cross multiply
    256,710x = 385,065 × 385,065
  4. Step 4: Simplify right side
    256,710x = 148,275,054,225
  5. Step 5: Solve for x
    x = 148,275,054,225/256,710
  6. Step 6: Final answer
    x = 577,597.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.