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Finding the Third Proportional to 180,345 and 280,349.50

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Solution

The third proportional to 180,345 and 280,349.50 is: 435,808.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,345 : 280,349.50 = 280,349.50 : x
  2. Step 2: Convert to fraction form
    180,345/280,349.50 = 280,349.50/x
  3. Step 3: Cross multiply
    180,345x = 280,349.50 × 280,349.50
  4. Step 4: Simplify right side
    180,345x = 78,595,842,150.25
  5. Step 5: Solve for x
    x = 78,595,842,150.25/180,345
  6. Step 6: Final answer
    x = 435,808.27

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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.