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Finding the Third Proportional to 256,428 and 558,009

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Solution

The third proportional to 256,428 and 558,009 is: 1,214,274.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,428 : 558,009 = 558,009 : x
  2. Step 2: Convert to fraction form
    256,428/558,009 = 558,009/x
  3. Step 3: Cross multiply
    256,428x = 558,009 × 558,009
  4. Step 4: Simplify right side
    256,428x = 311,374,044,081
  5. Step 5: Solve for x
    x = 311,374,044,081/256,428
  6. Step 6: Final answer
    x = 1,214,274.74

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.