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Finding the Third Proportional to 209,802 and 316,445

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Solution

The third proportional to 209,802 and 316,445 is: 477,294.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,802 : 316,445 = 316,445 : x
  2. Step 2: Convert to fraction form
    209,802/316,445 = 316,445/x
  3. Step 3: Cross multiply
    209,802x = 316,445 × 316,445
  4. Step 4: Simplify right side
    209,802x = 100,137,438,025
  5. Step 5: Solve for x
    x = 100,137,438,025/209,802
  6. Step 6: Final answer
    x = 477,294.96

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.