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Finding the Third Proportional to 190,790 and 302,040

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Solution

The third proportional to 190,790 and 302,040 is: 478,160.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,790 : 302,040 = 302,040 : x
  2. Step 2: Convert to fraction form
    190,790/302,040 = 302,040/x
  3. Step 3: Cross multiply
    190,790x = 302,040 × 302,040
  4. Step 4: Simplify right side
    190,790x = 91,228,161,600
  5. Step 5: Solve for x
    x = 91,228,161,600/190,790
  6. Step 6: Final answer
    x = 478,160.08

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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.