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Finding the Third Proportional to 145,148 and 219,910

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Solution

The third proportional to 145,148 and 219,910 is: 333,179.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,148 : 219,910 = 219,910 : x
  2. Step 2: Convert to fraction form
    145,148/219,910 = 219,910/x
  3. Step 3: Cross multiply
    145,148x = 219,910 × 219,910
  4. Step 4: Simplify right side
    145,148x = 48,360,408,100
  5. Step 5: Solve for x
    x = 48,360,408,100/145,148
  6. Step 6: Final answer
    x = 333,179.98

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.