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Finding the Third Proportional to 70,707.38 and 148,685.63

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Solution

The third proportional to 70,707.38 and 148,685.63 is: 312,660.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,707.38 : 148,685.63 = 148,685.63 : x
  2. Step 2: Convert to fraction form
    70,707.38/148,685.63 = 148,685.63/x
  3. Step 3: Cross multiply
    70,707.38x = 148,685.63 × 148,685.63
  4. Step 4: Simplify right side
    70,707.38x = 22,107,415,081.64
  5. Step 5: Solve for x
    x = 22,107,415,081.64/70,707.38
  6. Step 6: Final answer
    x = 312,660.67

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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.