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Finding the Third Proportional to 299,432 and 450,363

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Solution

The third proportional to 299,432 and 450,363 is: 677,371.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,432 : 450,363 = 450,363 : x
  2. Step 2: Convert to fraction form
    299,432/450,363 = 450,363/x
  3. Step 3: Cross multiply
    299,432x = 450,363 × 450,363
  4. Step 4: Simplify right side
    299,432x = 202,826,831,769
  5. Step 5: Solve for x
    x = 202,826,831,769/299,432
  6. Step 6: Final answer
    x = 677,371.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.