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Finding the Third Proportional to 70,056 and 102,780

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Solution

The third proportional to 70,056 and 102,780 is: 150,789.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,056 : 102,780 = 102,780 : x
  2. Step 2: Convert to fraction form
    70,056/102,780 = 102,780/x
  3. Step 3: Cross multiply
    70,056x = 102,780 × 102,780
  4. Step 4: Simplify right side
    70,056x = 10,563,728,400
  5. Step 5: Solve for x
    x = 10,563,728,400/70,056
  6. Step 6: Final answer
    x = 150,789.77

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.