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Finding the Third Proportional to 105,566 and 163,702

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Solution

The third proportional to 105,566 and 163,702 is: 253,853.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,566 : 163,702 = 163,702 : x
  2. Step 2: Convert to fraction form
    105,566/163,702 = 163,702/x
  3. Step 3: Cross multiply
    105,566x = 163,702 × 163,702
  4. Step 4: Simplify right side
    105,566x = 26,798,344,804
  5. Step 5: Solve for x
    x = 26,798,344,804/105,566
  6. Step 6: Final answer
    x = 253,853.94

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Why These Related Problems?

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