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Finding the Third Proportional to 178,272 and 388,528

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Solution

The third proportional to 178,272 and 388,528 is: 846,762.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,272 : 388,528 = 388,528 : x
  2. Step 2: Convert to fraction form
    178,272/388,528 = 388,528/x
  3. Step 3: Cross multiply
    178,272x = 388,528 × 388,528
  4. Step 4: Simplify right side
    178,272x = 150,954,006,784
  5. Step 5: Solve for x
    x = 150,954,006,784/178,272
  6. Step 6: Final answer
    x = 846,762.29

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.