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Finding the Third Proportional to 301,200 and 642,432

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Solution

The third proportional to 301,200 and 642,432 is: 1,370,248.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,200 : 642,432 = 642,432 : x
  2. Step 2: Convert to fraction form
    301,200/642,432 = 642,432/x
  3. Step 3: Cross multiply
    301,200x = 642,432 × 642,432
  4. Step 4: Simplify right side
    301,200x = 412,718,874,624
  5. Step 5: Solve for x
    x = 412,718,874,624/301,200
  6. Step 6: Final answer
    x = 1,370,248.59

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.