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Finding the Third Proportional to 288,770 and 444,431.50

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Solution

The third proportional to 288,770 and 444,431.50 is: 684,002.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,770 : 444,431.50 = 444,431.50 : x
  2. Step 2: Convert to fraction form
    288,770/444,431.50 = 444,431.50/x
  3. Step 3: Cross multiply
    288,770x = 444,431.50 × 444,431.50
  4. Step 4: Simplify right side
    288,770x = 197,519,358,192.25
  5. Step 5: Solve for x
    x = 197,519,358,192.25/288,770
  6. Step 6: Final answer
    x = 684,002.35

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.