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Finding the Third Proportional to 145,600 and 219,426

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Solution

The third proportional to 145,600 and 219,426 is: 330,685.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,600 : 219,426 = 219,426 : x
  2. Step 2: Convert to fraction form
    145,600/219,426 = 219,426/x
  3. Step 3: Cross multiply
    145,600x = 219,426 × 219,426
  4. Step 4: Simplify right side
    145,600x = 48,147,769,476
  5. Step 5: Solve for x
    x = 48,147,769,476/145,600
  6. Step 6: Final answer
    x = 330,685.23

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.