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Finding the Third Proportional to 454,550.81 and 677,885.06

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Solution

The third proportional to 454,550.81 and 677,885.06 is: 1,010,950.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,550.81 : 677,885.06 = 677,885.06 : x
  2. Step 2: Convert to fraction form
    454,550.81/677,885.06 = 677,885.06/x
  3. Step 3: Cross multiply
    454,550.81x = 677,885.06 × 677,885.06
  4. Step 4: Simplify right side
    454,550.81x = 459,528,157,960.63
  5. Step 5: Solve for x
    x = 459,528,157,960.63/454,550.81
  6. Step 6: Final answer
    x = 1,010,950.03

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.