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Finding the Third Proportional to 268,459 and 578,957

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Solution

The third proportional to 268,459 and 578,957 is: 1,248,575.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,459 : 578,957 = 578,957 : x
  2. Step 2: Convert to fraction form
    268,459/578,957 = 578,957/x
  3. Step 3: Cross multiply
    268,459x = 578,957 × 578,957
  4. Step 4: Simplify right side
    268,459x = 335,191,207,849
  5. Step 5: Solve for x
    x = 335,191,207,849/268,459
  6. Step 6: Final answer
    x = 1,248,575.04

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.