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Finding the Third Proportional to 84,528 and 178,488

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Solution

The third proportional to 84,528 and 178,488 is: 376,892.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,528 : 178,488 = 178,488 : x
  2. Step 2: Convert to fraction form
    84,528/178,488 = 178,488/x
  3. Step 3: Cross multiply
    84,528x = 178,488 × 178,488
  4. Step 4: Simplify right side
    84,528x = 31,857,966,144
  5. Step 5: Solve for x
    x = 31,857,966,144/84,528
  6. Step 6: Final answer
    x = 376,892.46

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.