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Finding the Third Proportional to 208,152 and 431,072

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Solution

The third proportional to 208,152 and 431,072 is: 892,727.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,152 : 431,072 = 431,072 : x
  2. Step 2: Convert to fraction form
    208,152/431,072 = 431,072/x
  3. Step 3: Cross multiply
    208,152x = 431,072 × 431,072
  4. Step 4: Simplify right side
    208,152x = 185,823,069,184
  5. Step 5: Solve for x
    x = 185,823,069,184/208,152
  6. Step 6: Final answer
    x = 892,727.76

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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.