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Finding the Third Proportional to 209,112 and 316,260

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Solution

The third proportional to 209,112 and 316,260 is: 478,310.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,112 : 316,260 = 316,260 : x
  2. Step 2: Convert to fraction form
    209,112/316,260 = 316,260/x
  3. Step 3: Cross multiply
    209,112x = 316,260 × 316,260
  4. Step 4: Simplify right side
    209,112x = 100,020,387,600
  5. Step 5: Solve for x
    x = 100,020,387,600/209,112
  6. Step 6: Final answer
    x = 478,310.13

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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.