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Finding the Third Proportional to 207,426 and 314,857

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Solution

The third proportional to 207,426 and 314,857 is: 477,929.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,426 : 314,857 = 314,857 : x
  2. Step 2: Convert to fraction form
    207,426/314,857 = 314,857/x
  3. Step 3: Cross multiply
    207,426x = 314,857 × 314,857
  4. Step 4: Simplify right side
    207,426x = 99,134,930,449
  5. Step 5: Solve for x
    x = 99,134,930,449/207,426
  6. Step 6: Final answer
    x = 477,929.14

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.