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Finding the Third Proportional to 280,838 and 446,579

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Solution

The third proportional to 280,838 and 446,579 is: 710,134.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,838 : 446,579 = 446,579 : x
  2. Step 2: Convert to fraction form
    280,838/446,579 = 446,579/x
  3. Step 3: Cross multiply
    280,838x = 446,579 × 446,579
  4. Step 4: Simplify right side
    280,838x = 199,432,803,241
  5. Step 5: Solve for x
    x = 199,432,803,241/280,838
  6. Step 6: Final answer
    x = 710,134.68

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.