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Finding the Third Proportional to 61,836 and 87,354

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Solution

The third proportional to 61,836 and 87,354 is: 123,402.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,836 : 87,354 = 87,354 : x
  2. Step 2: Convert to fraction form
    61,836/87,354 = 87,354/x
  3. Step 3: Cross multiply
    61,836x = 87,354 × 87,354
  4. Step 4: Simplify right side
    61,836x = 7,630,721,316
  5. Step 5: Solve for x
    x = 7,630,721,316/61,836
  6. Step 6: Final answer
    x = 123,402.57

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.