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Finding the Third Proportional to 78,273 and 170,505

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Solution

The third proportional to 78,273 and 170,505 is: 371,417.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,273 : 170,505 = 170,505 : x
  2. Step 2: Convert to fraction form
    78,273/170,505 = 170,505/x
  3. Step 3: Cross multiply
    78,273x = 170,505 × 170,505
  4. Step 4: Simplify right side
    78,273x = 29,071,955,025
  5. Step 5: Solve for x
    x = 29,071,955,025/78,273
  6. Step 6: Final answer
    x = 371,417.41

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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.