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Finding the Third Proportional to 256,670.65 and 384,615.84

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Solution

The third proportional to 256,670.65 and 384,615.84 is: 576,339.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,670.65 : 384,615.84 = 384,615.84 : x
  2. Step 2: Convert to fraction form
    256,670.65/384,615.84 = 384,615.84/x
  3. Step 3: Cross multiply
    256,670.65x = 384,615.84 × 384,615.84
  4. Step 4: Simplify right side
    256,670.65x = 147,929,347,263.52
  5. Step 5: Solve for x
    x = 147,929,347,263.52/256,670.65
  6. Step 6: Final answer
    x = 576,339.17

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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.