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Finding the Third Proportional to 77,312 and 169,384

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Solution

The third proportional to 77,312 and 169,384 is: 371,105.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,312 : 169,384 = 169,384 : x
  2. Step 2: Convert to fraction form
    77,312/169,384 = 169,384/x
  3. Step 3: Cross multiply
    77,312x = 169,384 × 169,384
  4. Step 4: Simplify right side
    77,312x = 28,690,939,456
  5. Step 5: Solve for x
    x = 28,690,939,456/77,312
  6. Step 6: Final answer
    x = 371,105.90

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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.