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Finding the Third Proportional to 77,253 and 169,264

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Solution

The third proportional to 77,253 and 169,264 is: 370,863.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,253 : 169,264 = 169,264 : x
  2. Step 2: Convert to fraction form
    77,253/169,264 = 169,264/x
  3. Step 3: Cross multiply
    77,253x = 169,264 × 169,264
  4. Step 4: Simplify right side
    77,253x = 28,650,301,696
  5. Step 5: Solve for x
    x = 28,650,301,696/77,253
  6. Step 6: Final answer
    x = 370,863.29

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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.