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Finding the Third Proportional to 280,419.19 and 611,587.69

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Solution

The third proportional to 280,419.19 and 611,587.69 is: 1,333,858.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,419.19 : 611,587.69 = 611,587.69 : x
  2. Step 2: Convert to fraction form
    280,419.19/611,587.69 = 611,587.69/x
  3. Step 3: Cross multiply
    280,419.19x = 611,587.69 × 611,587.69
  4. Step 4: Simplify right side
    280,419.19x = 374,039,499,501.60
  5. Step 5: Solve for x
    x = 374,039,499,501.60/280,419.19
  6. Step 6: Final answer
    x = 1,333,858.44

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.