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Finding the Third Proportional to 321,627 and 480,010.50

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Solution

The third proportional to 321,627 and 480,010.50 is: 716,389.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,627 : 480,010.50 = 480,010.50 : x
  2. Step 2: Convert to fraction form
    321,627/480,010.50 = 480,010.50/x
  3. Step 3: Cross multiply
    321,627x = 480,010.50 × 480,010.50
  4. Step 4: Simplify right side
    321,627x = 230,410,080,110.25
  5. Step 5: Solve for x
    x = 230,410,080,110.25/321,627
  6. Step 6: Final answer
    x = 716,389.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.