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Finding the Third Proportional to 256,578 and 546,378

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Solution

The third proportional to 256,578 and 546,378 is: 1,163,501.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,578 : 546,378 = 546,378 : x
  2. Step 2: Convert to fraction form
    256,578/546,378 = 546,378/x
  3. Step 3: Cross multiply
    256,578x = 546,378 × 546,378
  4. Step 4: Simplify right side
    256,578x = 298,528,918,884
  5. Step 5: Solve for x
    x = 298,528,918,884/256,578
  6. Step 6: Final answer
    x = 1,163,501.62

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.