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Finding the Third Proportional to 190,727 and 288,545

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Solution

The third proportional to 190,727 and 288,545 is: 436,530.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,727 : 288,545 = 288,545 : x
  2. Step 2: Convert to fraction form
    190,727/288,545 = 288,545/x
  3. Step 3: Cross multiply
    190,727x = 288,545 × 288,545
  4. Step 4: Simplify right side
    190,727x = 83,258,217,025
  5. Step 5: Solve for x
    x = 83,258,217,025/190,727
  6. Step 6: Final answer
    x = 436,530.84

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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.