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Finding the Third Proportional to 105,566 and 155,555

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Solution

The third proportional to 105,566 and 155,555 is: 229,215.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,566 : 155,555 = 155,555 : x
  2. Step 2: Convert to fraction form
    105,566/155,555 = 155,555/x
  3. Step 3: Cross multiply
    105,566x = 155,555 × 155,555
  4. Step 4: Simplify right side
    105,566x = 24,197,358,025
  5. Step 5: Solve for x
    x = 24,197,358,025/105,566
  6. Step 6: Final answer
    x = 229,215.45

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.