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Finding the Third Proportional to 70,780 and 107,076

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Solution

The third proportional to 70,780 and 107,076 is: 161,984.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,780 : 107,076 = 107,076 : x
  2. Step 2: Convert to fraction form
    70,780/107,076 = 107,076/x
  3. Step 3: Cross multiply
    70,780x = 107,076 × 107,076
  4. Step 4: Simplify right side
    70,780x = 11,465,269,776
  5. Step 5: Solve for x
    x = 11,465,269,776/70,780
  6. Step 6: Final answer
    x = 161,984.60

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.