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Finding the Third Proportional to 315,748.13 and 480,900.80

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Solution

The third proportional to 315,748.13 and 480,900.80 is: 732,436.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,748.13 : 480,900.80 = 480,900.80 : x
  2. Step 2: Convert to fraction form
    315,748.13/480,900.80 = 480,900.80/x
  3. Step 3: Cross multiply
    315,748.13x = 480,900.80 × 480,900.80
  4. Step 4: Simplify right side
    315,748.13x = 231,265,576,435.01
  5. Step 5: Solve for x
    x = 231,265,576,435.01/315,748.13
  6. Step 6: Final answer
    x = 732,436.90

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.