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Finding the Third Proportional to 280,480.50 and 617,035.50

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Solution

The third proportional to 280,480.50 and 617,035.50 is: 1,357,430.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,480.50 : 617,035.50 = 617,035.50 : x
  2. Step 2: Convert to fraction form
    280,480.50/617,035.50 = 617,035.50/x
  3. Step 3: Cross multiply
    280,480.50x = 617,035.50 × 617,035.50
  4. Step 4: Simplify right side
    280,480.50x = 380,732,808,260.25
  5. Step 5: Solve for x
    x = 380,732,808,260.25/280,480.50
  6. Step 6: Final answer
    x = 1,357,430.58

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.