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Finding the Third Proportional to 280,292 and 434,842

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Solution

The third proportional to 280,292 and 434,842 is: 674,609.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,292 : 434,842 = 434,842 : x
  2. Step 2: Convert to fraction form
    280,292/434,842 = 434,842/x
  3. Step 3: Cross multiply
    280,292x = 434,842 × 434,842
  4. Step 4: Simplify right side
    280,292x = 189,087,564,964
  5. Step 5: Solve for x
    x = 189,087,564,964/280,292
  6. Step 6: Final answer
    x = 674,609.21

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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.