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Finding the Third Proportional to 35,394 and 78,655

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Solution

The third proportional to 35,394 and 78,655 is: 174,792.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,394 : 78,655 = 78,655 : x
  2. Step 2: Convert to fraction form
    35,394/78,655 = 78,655/x
  3. Step 3: Cross multiply
    35,394x = 78,655 × 78,655
  4. Step 4: Simplify right side
    35,394x = 6,186,609,025
  5. Step 5: Solve for x
    x = 6,186,609,025/35,394
  6. Step 6: Final answer
    x = 174,792.59

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.