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Finding the Third Proportional to 45,220 and 70,020

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Solution

The third proportional to 45,220 and 70,020 is: 108,421.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,220 : 70,020 = 70,020 : x
  2. Step 2: Convert to fraction form
    45,220/70,020 = 70,020/x
  3. Step 3: Cross multiply
    45,220x = 70,020 × 70,020
  4. Step 4: Simplify right side
    45,220x = 4,902,800,400
  5. Step 5: Solve for x
    x = 4,902,800,400/45,220
  6. Step 6: Final answer
    x = 108,421.06

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.