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Finding the Third Proportional to 140,276 and 197,310

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Solution

The third proportional to 140,276 and 197,310 is: 277,533.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,276 : 197,310 = 197,310 : x
  2. Step 2: Convert to fraction form
    140,276/197,310 = 197,310/x
  3. Step 3: Cross multiply
    140,276x = 197,310 × 197,310
  4. Step 4: Simplify right side
    140,276x = 38,931,236,100
  5. Step 5: Solve for x
    x = 38,931,236,100/140,276
  6. Step 6: Final answer
    x = 277,533.12

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.