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Finding the Third Proportional to 299,432 and 437,545

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Solution

The third proportional to 299,432 and 437,545 is: 639,362.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,432 : 437,545 = 437,545 : x
  2. Step 2: Convert to fraction form
    299,432/437,545 = 437,545/x
  3. Step 3: Cross multiply
    299,432x = 437,545 × 437,545
  4. Step 4: Simplify right side
    299,432x = 191,445,627,025
  5. Step 5: Solve for x
    x = 191,445,627,025/299,432
  6. Step 6: Final answer
    x = 639,362.62

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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.