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Finding the Third Proportional to 74,205 and 174,987

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Solution

The third proportional to 74,205 and 174,987 is: 412,646.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,205 : 174,987 = 174,987 : x
  2. Step 2: Convert to fraction form
    74,205/174,987 = 174,987/x
  3. Step 3: Cross multiply
    74,205x = 174,987 × 174,987
  4. Step 4: Simplify right side
    74,205x = 30,620,450,169
  5. Step 5: Solve for x
    x = 30,620,450,169/74,205
  6. Step 6: Final answer
    x = 412,646.72

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.