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Finding the Third Proportional to 57,316 and 87,620

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Solution

The third proportional to 57,316 and 87,620 is: 133,946.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,316 : 87,620 = 87,620 : x
  2. Step 2: Convert to fraction form
    57,316/87,620 = 87,620/x
  3. Step 3: Cross multiply
    57,316x = 87,620 × 87,620
  4. Step 4: Simplify right side
    57,316x = 7,677,264,400
  5. Step 5: Solve for x
    x = 7,677,264,400/57,316
  6. Step 6: Final answer
    x = 133,946.27

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.