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Finding the Third Proportional to 298,582 and 447,686

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Solution

The third proportional to 298,582 and 447,686 is: 671,248.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,582 : 447,686 = 447,686 : x
  2. Step 2: Convert to fraction form
    298,582/447,686 = 447,686/x
  3. Step 3: Cross multiply
    298,582x = 447,686 × 447,686
  4. Step 4: Simplify right side
    298,582x = 200,422,754,596
  5. Step 5: Solve for x
    x = 200,422,754,596/298,582
  6. Step 6: Final answer
    x = 671,248.62

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