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Finding the Third Proportional to 70,719 and 148,708.50

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Solution

The third proportional to 70,719 and 148,708.50 is: 312,705.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,719 : 148,708.50 = 148,708.50 : x
  2. Step 2: Convert to fraction form
    70,719/148,708.50 = 148,708.50/x
  3. Step 3: Cross multiply
    70,719x = 148,708.50 × 148,708.50
  4. Step 4: Simplify right side
    70,719x = 22,114,217,972.25
  5. Step 5: Solve for x
    x = 22,114,217,972.25/70,719
  6. Step 6: Final answer
    x = 312,705.47

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.