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Finding the Third Proportional to 251,517 and 380,528

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Solution

The third proportional to 251,517 and 380,528 is: 575,712.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,517 : 380,528 = 380,528 : x
  2. Step 2: Convert to fraction form
    251,517/380,528 = 380,528/x
  3. Step 3: Cross multiply
    251,517x = 380,528 × 380,528
  4. Step 4: Simplify right side
    251,517x = 144,801,558,784
  5. Step 5: Solve for x
    x = 144,801,558,784/251,517
  6. Step 6: Final answer
    x = 575,712.81

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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.