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Finding the Third Proportional to 478,608 and 740,991

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Solution

The third proportional to 478,608 and 740,991 is: 1,147,217.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,608 : 740,991 = 740,991 : x
  2. Step 2: Convert to fraction form
    478,608/740,991 = 740,991/x
  3. Step 3: Cross multiply
    478,608x = 740,991 × 740,991
  4. Step 4: Simplify right side
    478,608x = 549,067,662,081
  5. Step 5: Solve for x
    x = 549,067,662,081/478,608
  6. Step 6: Final answer
    x = 1,147,217.89

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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.