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Finding the Third Proportional to 53,476 and 115,510

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Solution

The third proportional to 53,476 and 115,510 is: 249,505.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,476 : 115,510 = 115,510 : x
  2. Step 2: Convert to fraction form
    53,476/115,510 = 115,510/x
  3. Step 3: Cross multiply
    53,476x = 115,510 × 115,510
  4. Step 4: Simplify right side
    53,476x = 13,342,560,100
  5. Step 5: Solve for x
    x = 13,342,560,100/53,476
  6. Step 6: Final answer
    x = 249,505.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.