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Finding the Third Proportional to 256,724 and 572,478

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Solution

The third proportional to 256,724 and 572,478 is: 1,276,589.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,724 : 572,478 = 572,478 : x
  2. Step 2: Convert to fraction form
    256,724/572,478 = 572,478/x
  3. Step 3: Cross multiply
    256,724x = 572,478 × 572,478
  4. Step 4: Simplify right side
    256,724x = 327,731,060,484
  5. Step 5: Solve for x
    x = 327,731,060,484/256,724
  6. Step 6: Final answer
    x = 1,276,589.10

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.