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Finding the Third Proportional to 142,602 and 163,338

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Solution

The third proportional to 142,602 and 163,338 is: 187,089.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,602 : 163,338 = 163,338 : x
  2. Step 2: Convert to fraction form
    142,602/163,338 = 163,338/x
  3. Step 3: Cross multiply
    142,602x = 163,338 × 163,338
  4. Step 4: Simplify right side
    142,602x = 26,679,302,244
  5. Step 5: Solve for x
    x = 26,679,302,244/142,602
  6. Step 6: Final answer
    x = 187,089.26

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.