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Finding the Third Proportional to 472,985 and 734,389

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Solution

The third proportional to 472,985 and 734,389 is: 1,140,262.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,985 : 734,389 = 734,389 : x
  2. Step 2: Convert to fraction form
    472,985/734,389 = 734,389/x
  3. Step 3: Cross multiply
    472,985x = 734,389 × 734,389
  4. Step 4: Simplify right side
    472,985x = 539,327,203,321
  5. Step 5: Solve for x
    x = 539,327,203,321/472,985
  6. Step 6: Final answer
    x = 1,140,262.81

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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.