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Finding the Third Proportional to 209,798 and 316,438

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Solution

The third proportional to 209,798 and 316,438 is: 477,282.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,798 : 316,438 = 316,438 : x
  2. Step 2: Convert to fraction form
    209,798/316,438 = 316,438/x
  3. Step 3: Cross multiply
    209,798x = 316,438 × 316,438
  4. Step 4: Simplify right side
    209,798x = 100,133,007,844
  5. Step 5: Solve for x
    x = 100,133,007,844/209,798
  6. Step 6: Final answer
    x = 477,282.95

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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.