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Finding the Third Proportional to 454,354 and 712,806

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Solution

The third proportional to 454,354 and 712,806 is: 1,118,274.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,354 : 712,806 = 712,806 : x
  2. Step 2: Convert to fraction form
    454,354/712,806 = 712,806/x
  3. Step 3: Cross multiply
    454,354x = 712,806 × 712,806
  4. Step 4: Simplify right side
    454,354x = 508,092,393,636
  5. Step 5: Solve for x
    x = 508,092,393,636/454,354
  6. Step 6: Final answer
    x = 1,118,274.28

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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.