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Finding the Third Proportional to 472,987 and 734,392

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Solution

The third proportional to 472,987 and 734,392 is: 1,140,267.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,987 : 734,392 = 734,392 : x
  2. Step 2: Convert to fraction form
    472,987/734,392 = 734,392/x
  3. Step 3: Cross multiply
    472,987x = 734,392 × 734,392
  4. Step 4: Simplify right side
    472,987x = 539,331,609,664
  5. Step 5: Solve for x
    x = 539,331,609,664/472,987
  6. Step 6: Final answer
    x = 1,140,267.30

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.