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Finding the Third Proportional to 454,318.88 and 712,734.19

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Solution

The third proportional to 454,318.88 and 712,734.19 is: 1,118,135.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,318.88 : 712,734.19 = 712,734.19 : x
  2. Step 2: Convert to fraction form
    454,318.88/712,734.19 = 712,734.19/x
  3. Step 3: Cross multiply
    454,318.88x = 712,734.19 × 712,734.19
  4. Step 4: Simplify right side
    454,318.88x = 507,990,022,031.29
  5. Step 5: Solve for x
    x = 507,990,022,031.29/454,318.88
  6. Step 6: Final answer
    x = 1,118,135.41

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.