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Finding the Third Proportional to 193,097 and 420,521

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Solution

The third proportional to 193,097 and 420,521 is: 915,798.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,097 : 420,521 = 420,521 : x
  2. Step 2: Convert to fraction form
    193,097/420,521 = 420,521/x
  3. Step 3: Cross multiply
    193,097x = 420,521 × 420,521
  4. Step 4: Simplify right side
    193,097x = 176,837,911,441
  5. Step 5: Solve for x
    x = 176,837,911,441/193,097
  6. Step 6: Final answer
    x = 915,798.34

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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.