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Finding the Third Proportional to 256,580 and 546,382

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Solution

The third proportional to 256,580 and 546,382 is: 1,163,509.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,580 : 546,382 = 546,382 : x
  2. Step 2: Convert to fraction form
    256,580/546,382 = 546,382/x
  3. Step 3: Cross multiply
    256,580x = 546,382 × 546,382
  4. Step 4: Simplify right side
    256,580x = 298,533,289,924
  5. Step 5: Solve for x
    x = 298,533,289,924/256,580
  6. Step 6: Final answer
    x = 1,163,509.59

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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.