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Finding the Third Proportional to 288,298 and 439,554

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Solution

The third proportional to 288,298 and 439,554 is: 670,166.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,298 : 439,554 = 439,554 : x
  2. Step 2: Convert to fraction form
    288,298/439,554 = 439,554/x
  3. Step 3: Cross multiply
    288,298x = 439,554 × 439,554
  4. Step 4: Simplify right side
    288,298x = 193,207,718,916
  5. Step 5: Solve for x
    x = 193,207,718,916/288,298
  6. Step 6: Final answer
    x = 670,166.70

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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.