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Finding the Third Proportional to 105,570 and 163,711

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Solution

The third proportional to 105,570 and 163,711 is: 253,872.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,570 : 163,711 = 163,711 : x
  2. Step 2: Convert to fraction form
    105,570/163,711 = 163,711/x
  3. Step 3: Cross multiply
    105,570x = 163,711 × 163,711
  4. Step 4: Simplify right side
    105,570x = 26,801,291,521
  5. Step 5: Solve for x
    x = 26,801,291,521/105,570
  6. Step 6: Final answer
    x = 253,872.23

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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.