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Finding the Third Proportional to 207,798 and 313,209

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Solution

The third proportional to 207,798 and 313,209 is: 472,092.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,798 : 313,209 = 313,209 : x
  2. Step 2: Convert to fraction form
    207,798/313,209 = 313,209/x
  3. Step 3: Cross multiply
    207,798x = 313,209 × 313,209
  4. Step 4: Simplify right side
    207,798x = 98,099,877,681
  5. Step 5: Solve for x
    x = 98,099,877,681/207,798
  6. Step 6: Final answer
    x = 472,092.50

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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.