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Finding the Third Proportional to 280,563 and 435,317

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Solution

The third proportional to 280,563 and 435,317 is: 675,430.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,563 : 435,317 = 435,317 : x
  2. Step 2: Convert to fraction form
    280,563/435,317 = 435,317/x
  3. Step 3: Cross multiply
    280,563x = 435,317 × 435,317
  4. Step 4: Simplify right side
    280,563x = 189,500,890,489
  5. Step 5: Solve for x
    x = 189,500,890,489/280,563
  6. Step 6: Final answer
    x = 675,430.80

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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.