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Finding the Third Proportional to 154,476 and 338,476.50

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Solution

The third proportional to 154,476 and 338,476.50 is: 741,644.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,476 : 338,476.50 = 338,476.50 : x
  2. Step 2: Convert to fraction form
    154,476/338,476.50 = 338,476.50/x
  3. Step 3: Cross multiply
    154,476x = 338,476.50 × 338,476.50
  4. Step 4: Simplify right side
    154,476x = 114,566,341,052.25
  5. Step 5: Solve for x
    x = 114,566,341,052.25/154,476
  6. Step 6: Final answer
    x = 741,644.92

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.