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Finding the Third Proportional to 280,378.13 and 616,828.50

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Solution

The third proportional to 280,378.13 and 616,828.50 is: 1,357,015.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,378.13 : 616,828.50 = 616,828.50 : x
  2. Step 2: Convert to fraction form
    280,378.13/616,828.50 = 616,828.50/x
  3. Step 3: Cross multiply
    280,378.13x = 616,828.50 × 616,828.50
  4. Step 4: Simplify right side
    280,378.13x = 380,477,398,412.25
  5. Step 5: Solve for x
    x = 380,477,398,412.25/280,378.13
  6. Step 6: Final answer
    x = 1,357,015.28

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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.