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Finding the Third Proportional to 174,528 and 280,015

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Solution

The third proportional to 174,528 and 280,015 is: 449,259.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,528 : 280,015 = 280,015 : x
  2. Step 2: Convert to fraction form
    174,528/280,015 = 280,015/x
  3. Step 3: Cross multiply
    174,528x = 280,015 × 280,015
  4. Step 4: Simplify right side
    174,528x = 78,408,400,225
  5. Step 5: Solve for x
    x = 78,408,400,225/174,528
  6. Step 6: Final answer
    x = 449,259.72

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.