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Finding the Third Proportional to 202,142 and 316,155

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Solution

The third proportional to 202,142 and 316,155 is: 494,474.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,142 : 316,155 = 316,155 : x
  2. Step 2: Convert to fraction form
    202,142/316,155 = 316,155/x
  3. Step 3: Cross multiply
    202,142x = 316,155 × 316,155
  4. Step 4: Simplify right side
    202,142x = 99,953,984,025
  5. Step 5: Solve for x
    x = 99,953,984,025/202,142
  6. Step 6: Final answer
    x = 494,474.10

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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.