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Finding the Third Proportional to 473,749 and 728,921

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Solution

The third proportional to 473,749 and 728,921 is: 1,121,534.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,749 : 728,921 = 728,921 : x
  2. Step 2: Convert to fraction form
    473,749/728,921 = 728,921/x
  3. Step 3: Cross multiply
    473,749x = 728,921 × 728,921
  4. Step 4: Simplify right side
    473,749x = 531,325,824,241
  5. Step 5: Solve for x
    x = 531,325,824,241/473,749
  6. Step 6: Final answer
    x = 1,121,534.45

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.