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Finding the Third Proportional to 70,020 and 148,674

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Solution

The third proportional to 70,020 and 148,674 is: 315,680.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,020 : 148,674 = 148,674 : x
  2. Step 2: Convert to fraction form
    70,020/148,674 = 148,674/x
  3. Step 3: Cross multiply
    70,020x = 148,674 × 148,674
  4. Step 4: Simplify right side
    70,020x = 22,103,958,276
  5. Step 5: Solve for x
    x = 22,103,958,276/70,020
  6. Step 6: Final answer
    x = 315,680.64

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.