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Finding the Third Proportional to 178,092 and 420,417

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Solution

The third proportional to 178,092 and 420,417 is: 992,467.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,092 : 420,417 = 420,417 : x
  2. Step 2: Convert to fraction form
    178,092/420,417 = 420,417/x
  3. Step 3: Cross multiply
    178,092x = 420,417 × 420,417
  4. Step 4: Simplify right side
    178,092x = 176,750,453,889
  5. Step 5: Solve for x
    x = 176,750,453,889/178,092
  6. Step 6: Final answer
    x = 992,467.12

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.