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Finding the Third Proportional to 202,046 and 316,950

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Solution

The third proportional to 202,046 and 316,950 is: 497,200.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,046 : 316,950 = 316,950 : x
  2. Step 2: Convert to fraction form
    202,046/316,950 = 316,950/x
  3. Step 3: Cross multiply
    202,046x = 316,950 × 316,950
  4. Step 4: Simplify right side
    202,046x = 100,457,302,500
  5. Step 5: Solve for x
    x = 100,457,302,500/202,046
  6. Step 6: Final answer
    x = 497,200.15

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.