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Finding the Third Proportional to 208,416 and 431,124

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Solution

The third proportional to 208,416 and 431,124 is: 891,812.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,416 : 431,124 = 431,124 : x
  2. Step 2: Convert to fraction form
    208,416/431,124 = 431,124/x
  3. Step 3: Cross multiply
    208,416x = 431,124 × 431,124
  4. Step 4: Simplify right side
    208,416x = 185,867,903,376
  5. Step 5: Solve for x
    x = 185,867,903,376/208,416
  6. Step 6: Final answer
    x = 891,812.07

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.