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Finding the Third Proportional to 53,186 and 78,752

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Solution

The third proportional to 53,186 and 78,752 is: 116,607.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,186 : 78,752 = 78,752 : x
  2. Step 2: Convert to fraction form
    53,186/78,752 = 78,752/x
  3. Step 3: Cross multiply
    53,186x = 78,752 × 78,752
  4. Step 4: Simplify right side
    53,186x = 6,201,877,504
  5. Step 5: Solve for x
    x = 6,201,877,504/53,186
  6. Step 6: Final answer
    x = 116,607.33

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.