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Finding the Third Proportional to 77,492 and 169,735

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Solution

The third proportional to 77,492 and 169,735 is: 371,779.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,492 : 169,735 = 169,735 : x
  2. Step 2: Convert to fraction form
    77,492/169,735 = 169,735/x
  3. Step 3: Cross multiply
    77,492x = 169,735 × 169,735
  4. Step 4: Simplify right side
    77,492x = 28,809,970,225
  5. Step 5: Solve for x
    x = 28,809,970,225/77,492
  6. Step 6: Final answer
    x = 371,779.93

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.