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Finding the Third Proportional to 280,416 and 423,968

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Solution

The third proportional to 280,416 and 423,968 is: 641,007.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,416 : 423,968 = 423,968 : x
  2. Step 2: Convert to fraction form
    280,416/423,968 = 423,968/x
  3. Step 3: Cross multiply
    280,416x = 423,968 × 423,968
  4. Step 4: Simplify right side
    280,416x = 179,748,865,024
  5. Step 5: Solve for x
    x = 179,748,865,024/280,416
  6. Step 6: Final answer
    x = 641,007.88

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.