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Finding the Third Proportional to 75,570 and 165,503

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Solution

The third proportional to 75,570 and 165,503 is: 362,461.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,570 : 165,503 = 165,503 : x
  2. Step 2: Convert to fraction form
    75,570/165,503 = 165,503/x
  3. Step 3: Cross multiply
    75,570x = 165,503 × 165,503
  4. Step 4: Simplify right side
    75,570x = 27,391,243,009
  5. Step 5: Solve for x
    x = 27,391,243,009/75,570
  6. Step 6: Final answer
    x = 362,461.86

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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.