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Finding the Third Proportional to 34,476 and 53,275.50

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Solution

The third proportional to 34,476 and 53,275.50 is: 82,326.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,476 : 53,275.50 = 53,275.50 : x
  2. Step 2: Convert to fraction form
    34,476/53,275.50 = 53,275.50/x
  3. Step 3: Cross multiply
    34,476x = 53,275.50 × 53,275.50
  4. Step 4: Simplify right side
    34,476x = 2,838,278,900.25
  5. Step 5: Solve for x
    x = 2,838,278,900.25/34,476
  6. Step 6: Final answer
    x = 82,326.22

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.