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Finding the Third Proportional to 173,454 and 378,342

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Solution

The third proportional to 173,454 and 378,342 is: 825,248.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,454 : 378,342 = 378,342 : x
  2. Step 2: Convert to fraction form
    173,454/378,342 = 378,342/x
  3. Step 3: Cross multiply
    173,454x = 378,342 × 378,342
  4. Step 4: Simplify right side
    173,454x = 143,142,668,964
  5. Step 5: Solve for x
    x = 143,142,668,964/173,454
  6. Step 6: Final answer
    x = 825,248.59

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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.