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Finding the Third Proportional to 190,484 and 287,454

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Solution

The third proportional to 190,484 and 287,454 is: 433,788.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,484 : 287,454 = 287,454 : x
  2. Step 2: Convert to fraction form
    190,484/287,454 = 287,454/x
  3. Step 3: Cross multiply
    190,484x = 287,454 × 287,454
  4. Step 4: Simplify right side
    190,484x = 82,629,802,116
  5. Step 5: Solve for x
    x = 82,629,802,116/190,484
  6. Step 6: Final answer
    x = 433,788.68

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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.