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Finding the Third Proportional to 478,611 and 740,993

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Solution

The third proportional to 478,611 and 740,993 is: 1,147,216.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,611 : 740,993 = 740,993 : x
  2. Step 2: Convert to fraction form
    478,611/740,993 = 740,993/x
  3. Step 3: Cross multiply
    478,611x = 740,993 × 740,993
  4. Step 4: Simplify right side
    478,611x = 549,070,626,049
  5. Step 5: Solve for x
    x = 549,070,626,049/478,611
  6. Step 6: Final answer
    x = 1,147,216.90

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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.