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Finding the Third Proportional to 77,911 and 165,541

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Solution

The third proportional to 77,911 and 165,541 is: 351,732.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,911 : 165,541 = 165,541 : x
  2. Step 2: Convert to fraction form
    77,911/165,541 = 165,541/x
  3. Step 3: Cross multiply
    77,911x = 165,541 × 165,541
  4. Step 4: Simplify right side
    77,911x = 27,403,822,681
  5. Step 5: Solve for x
    x = 27,403,822,681/77,911
  6. Step 6: Final answer
    x = 351,732.40

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.