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Finding the Third Proportional to 202,140 and 316,152

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Solution

The third proportional to 202,140 and 316,152 is: 494,469.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,140 : 316,152 = 316,152 : x
  2. Step 2: Convert to fraction form
    202,140/316,152 = 316,152/x
  3. Step 3: Cross multiply
    202,140x = 316,152 × 316,152
  4. Step 4: Simplify right side
    202,140x = 99,952,087,104
  5. Step 5: Solve for x
    x = 99,952,087,104/202,140
  6. Step 6: Final answer
    x = 494,469.61

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.