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Finding the Third Proportional to 289,509 and 447,387

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Solution

The third proportional to 289,509 and 447,387 is: 691,360.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,509 : 447,387 = 447,387 : x
  2. Step 2: Convert to fraction form
    289,509/447,387 = 447,387/x
  3. Step 3: Cross multiply
    289,509x = 447,387 × 447,387
  4. Step 4: Simplify right side
    289,509x = 200,155,127,769
  5. Step 5: Solve for x
    x = 200,155,127,769/289,509
  6. Step 6: Final answer
    x = 691,360.64

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.