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Finding the Third Proportional to 64,521 and 156,921.75

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Solution

The third proportional to 64,521 and 156,921.75 is: 381,649.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,521 : 156,921.75 = 156,921.75 : x
  2. Step 2: Convert to fraction form
    64,521/156,921.75 = 156,921.75/x
  3. Step 3: Cross multiply
    64,521x = 156,921.75 × 156,921.75
  4. Step 4: Simplify right side
    64,521x = 24,624,435,623.06
  5. Step 5: Solve for x
    x = 24,624,435,623.06/64,521
  6. Step 6: Final answer
    x = 381,649.94

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Why These Related Problems?

These problems maintain the same ratio (2.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.