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Finding the Third Proportional to 183,208 and 390,416

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Solution

The third proportional to 183,208 and 390,416 is: 831,975.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,208 : 390,416 = 390,416 : x
  2. Step 2: Convert to fraction form
    183,208/390,416 = 390,416/x
  3. Step 3: Cross multiply
    183,208x = 390,416 × 390,416
  4. Step 4: Simplify right side
    183,208x = 152,424,653,056
  5. Step 5: Solve for x
    x = 152,424,653,056/183,208
  6. Step 6: Final answer
    x = 831,975.97

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.