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Finding the Third Proportional to 256,774 and 572,557

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Solution

The third proportional to 256,774 and 572,557 is: 1,276,692.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,774 : 572,557 = 572,557 : x
  2. Step 2: Convert to fraction form
    256,774/572,557 = 572,557/x
  3. Step 3: Cross multiply
    256,774x = 572,557 × 572,557
  4. Step 4: Simplify right side
    256,774x = 327,821,518,249
  5. Step 5: Solve for x
    x = 327,821,518,249/256,774
  6. Step 6: Final answer
    x = 1,276,692.80

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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.