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Finding the Third Proportional to 280,290.38 and 434,838.94

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Solution

The third proportional to 280,290.38 and 434,838.94 is: 674,603.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,290.38 : 434,838.94 = 434,838.94 : x
  2. Step 2: Convert to fraction form
    280,290.38/434,838.94 = 434,838.94/x
  3. Step 3: Cross multiply
    280,290.38x = 434,838.94 × 434,838.94
  4. Step 4: Simplify right side
    280,290.38x = 189,084,901,566.13
  5. Step 5: Solve for x
    x = 189,084,901,566.13/280,290.38
  6. Step 6: Final answer
    x = 674,603.62

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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.