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Finding the Third Proportional to 288,750 and 448,833

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Solution

The third proportional to 288,750 and 448,833 is: 697,666.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,750 : 448,833 = 448,833 : x
  2. Step 2: Convert to fraction form
    288,750/448,833 = 448,833/x
  3. Step 3: Cross multiply
    288,750x = 448,833 × 448,833
  4. Step 4: Simplify right side
    288,750x = 201,451,061,889
  5. Step 5: Solve for x
    x = 201,451,061,889/288,750
  6. Step 6: Final answer
    x = 697,666.02

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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.