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Finding the Third Proportional to 480,180 and 1,030,344

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Solution

The third proportional to 480,180 and 1,030,344 is: 2,210,855.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,180 : 1,030,344 = 1,030,344 : x
  2. Step 2: Convert to fraction form
    480,180/1,030,344 = 1,030,344/x
  3. Step 3: Cross multiply
    480,180x = 1,030,344 × 1,030,344
  4. Step 4: Simplify right side
    480,180x = 1,061,608,758,336
  5. Step 5: Solve for x
    x = 1,061,608,758,336/480,180
  6. Step 6: Final answer
    x = 2,210,855.84

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.