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Finding the Third Proportional to 258,894 and 578,052

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Solution

The third proportional to 258,894 and 578,052 is: 1,290,659.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,894 : 578,052 = 578,052 : x
  2. Step 2: Convert to fraction form
    258,894/578,052 = 578,052/x
  3. Step 3: Cross multiply
    258,894x = 578,052 × 578,052
  4. Step 4: Simplify right side
    258,894x = 334,144,114,704
  5. Step 5: Solve for x
    x = 334,144,114,704/258,894
  6. Step 6: Final answer
    x = 1,290,659.94

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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.