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Finding the Third Proportional to 36,985 and 78,578

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Solution

The third proportional to 36,985 and 78,578 is: 166,946.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,985 : 78,578 = 78,578 : x
  2. Step 2: Convert to fraction form
    36,985/78,578 = 78,578/x
  3. Step 3: Cross multiply
    36,985x = 78,578 × 78,578
  4. Step 4: Simplify right side
    36,985x = 6,174,502,084
  5. Step 5: Solve for x
    x = 6,174,502,084/36,985
  6. Step 6: Final answer
    x = 166,946.12

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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.