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Finding the Third Proportional to 30,354.75 and 45,220.78

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Solution

The third proportional to 30,354.75 and 45,220.78 is: 67,367.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,354.75 : 45,220.78 = 45,220.78 : x
  2. Step 2: Convert to fraction form
    30,354.75/45,220.78 = 45,220.78/x
  3. Step 3: Cross multiply
    30,354.75x = 45,220.78 × 45,220.78
  4. Step 4: Simplify right side
    30,354.75x = 2,044,919,056.86
  5. Step 5: Solve for x
    x = 2,044,919,056.86/30,354.75
  6. Step 6: Final answer
    x = 67,367.35

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.