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Finding the Third Proportional to 75,648 and 162,688

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Solution

The third proportional to 75,648 and 162,688 is: 349,875.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,648 : 162,688 = 162,688 : x
  2. Step 2: Convert to fraction form
    75,648/162,688 = 162,688/x
  3. Step 3: Cross multiply
    75,648x = 162,688 × 162,688
  4. Step 4: Simplify right side
    75,648x = 26,467,385,344
  5. Step 5: Solve for x
    x = 26,467,385,344/75,648
  6. Step 6: Final answer
    x = 349,875.55

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.