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Finding the Third Proportional to 454,405 and 712,878

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Solution

The third proportional to 454,405 and 712,878 is: 1,118,374.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,405 : 712,878 = 712,878 : x
  2. Step 2: Convert to fraction form
    454,405/712,878 = 712,878/x
  3. Step 3: Cross multiply
    454,405x = 712,878 × 712,878
  4. Step 4: Simplify right side
    454,405x = 508,195,042,884
  5. Step 5: Solve for x
    x = 508,195,042,884/454,405
  6. Step 6: Final answer
    x = 1,118,374.67

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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.