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Finding the Third Proportional to 70,143 and 151,358

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Solution

The third proportional to 70,143 and 151,358 is: 326,607.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,143 : 151,358 = 151,358 : x
  2. Step 2: Convert to fraction form
    70,143/151,358 = 151,358/x
  3. Step 3: Cross multiply
    70,143x = 151,358 × 151,358
  4. Step 4: Simplify right side
    70,143x = 22,909,244,164
  5. Step 5: Solve for x
    x = 22,909,244,164/70,143
  6. Step 6: Final answer
    x = 326,607.70

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.