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Finding the Third Proportional to 190,789 and 302,039

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Solution

The third proportional to 190,789 and 302,039 is: 478,159.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,789 : 302,039 = 302,039 : x
  2. Step 2: Convert to fraction form
    190,789/302,039 = 302,039/x
  3. Step 3: Cross multiply
    190,789x = 302,039 × 302,039
  4. Step 4: Simplify right side
    190,789x = 91,227,557,521
  5. Step 5: Solve for x
    x = 91,227,557,521/190,789
  6. Step 6: Final answer
    x = 478,159.42

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.