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Finding the Third Proportional to 75,770 and 164,840

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Solution

The third proportional to 75,770 and 164,840 is: 358,614.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,770 : 164,840 = 164,840 : x
  2. Step 2: Convert to fraction form
    75,770/164,840 = 164,840/x
  3. Step 3: Cross multiply
    75,770x = 164,840 × 164,840
  4. Step 4: Simplify right side
    75,770x = 27,172,225,600
  5. Step 5: Solve for x
    x = 27,172,225,600/75,770
  6. Step 6: Final answer
    x = 358,614.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.