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Finding the Third Proportional to 180,528 and 280,660.50

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Solution

The third proportional to 180,528 and 280,660.50 is: 436,332.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,528 : 280,660.50 = 280,660.50 : x
  2. Step 2: Convert to fraction form
    180,528/280,660.50 = 280,660.50/x
  3. Step 3: Cross multiply
    180,528x = 280,660.50 × 280,660.50
  4. Step 4: Simplify right side
    180,528x = 78,770,316,260.25
  5. Step 5: Solve for x
    x = 78,770,316,260.25/180,528
  6. Step 6: Final answer
    x = 436,332.96

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.