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Finding the Third Proportional to 200,064 and 316,800

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Solution

The third proportional to 200,064 and 316,800 is: 501,650.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,064 : 316,800 = 316,800 : x
  2. Step 2: Convert to fraction form
    200,064/316,800 = 316,800/x
  3. Step 3: Cross multiply
    200,064x = 316,800 × 316,800
  4. Step 4: Simplify right side
    200,064x = 100,362,240,000
  5. Step 5: Solve for x
    x = 100,362,240,000/200,064
  6. Step 6: Final answer
    x = 501,650.67

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.