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Finding the Third Proportional to 70,158 and 106,988

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Solution

The third proportional to 70,158 and 106,988 is: 163,152.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,158 : 106,988 = 106,988 : x
  2. Step 2: Convert to fraction form
    70,158/106,988 = 106,988/x
  3. Step 3: Cross multiply
    70,158x = 106,988 × 106,988
  4. Step 4: Simplify right side
    70,158x = 11,446,432,144
  5. Step 5: Solve for x
    x = 11,446,432,144/70,158
  6. Step 6: Final answer
    x = 163,152.20

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.