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Finding the Third Proportional to 42,780 and 93,852

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Solution

The third proportional to 42,780 and 93,852 is: 205,895.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,780 : 93,852 = 93,852 : x
  2. Step 2: Convert to fraction form
    42,780/93,852 = 93,852/x
  3. Step 3: Cross multiply
    42,780x = 93,852 × 93,852
  4. Step 4: Simplify right side
    42,780x = 8,808,197,904
  5. Step 5: Solve for x
    x = 8,808,197,904/42,780
  6. Step 6: Final answer
    x = 205,895.23

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.