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Finding the Third Proportional to 299,426 and 437,534

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Solution

The third proportional to 299,426 and 437,534 is: 639,343.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,426 : 437,534 = 437,534 : x
  2. Step 2: Convert to fraction form
    299,426/437,534 = 437,534/x
  3. Step 3: Cross multiply
    299,426x = 437,534 × 437,534
  4. Step 4: Simplify right side
    299,426x = 191,436,001,156
  5. Step 5: Solve for x
    x = 191,436,001,156/299,426
  6. Step 6: Final answer
    x = 639,343.28

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.