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Finding the Third Proportional to 620,645.63 and 949,004.81

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Solution

The third proportional to 620,645.63 and 949,004.81 is: 1,451,085.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    620,645.63 : 949,004.81 = 949,004.81 : x
  2. Step 2: Convert to fraction form
    620,645.63/949,004.81 = 949,004.81/x
  3. Step 3: Cross multiply
    620,645.63x = 949,004.81 × 949,004.81
  4. Step 4: Simplify right side
    620,645.63x = 900,610,134,148.16
  5. Step 5: Solve for x
    x = 900,610,134,148.16/620,645.63
  6. Step 6: Final answer
    x = 1,451,085.93

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.