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Finding the Third Proportional to 264,828 and 578,830

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Solution

The third proportional to 264,828 and 578,830 is: 1,265,138.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,828 : 578,830 = 578,830 : x
  2. Step 2: Convert to fraction form
    264,828/578,830 = 578,830/x
  3. Step 3: Cross multiply
    264,828x = 578,830 × 578,830
  4. Step 4: Simplify right side
    264,828x = 335,044,168,900
  5. Step 5: Solve for x
    x = 335,044,168,900/264,828
  6. Step 6: Final answer
    x = 1,265,138.77

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.