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Finding the Third Proportional to 64,306 and 100,140

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Solution

The third proportional to 64,306 and 100,140 is: 155,942.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,306 : 100,140 = 100,140 : x
  2. Step 2: Convert to fraction form
    64,306/100,140 = 100,140/x
  3. Step 3: Cross multiply
    64,306x = 100,140 × 100,140
  4. Step 4: Simplify right side
    64,306x = 10,028,019,600
  5. Step 5: Solve for x
    x = 10,028,019,600/64,306
  6. Step 6: Final answer
    x = 155,942.21

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.