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Finding the Third Proportional to 478,971 and 798,255

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Solution

The third proportional to 478,971 and 798,255 is: 1,330,375.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,971 : 798,255 = 798,255 : x
  2. Step 2: Convert to fraction form
    478,971/798,255 = 798,255/x
  3. Step 3: Cross multiply
    478,971x = 798,255 × 798,255
  4. Step 4: Simplify right side
    478,971x = 637,211,045,025
  5. Step 5: Solve for x
    x = 637,211,045,025/478,971
  6. Step 6: Final answer
    x = 1,330,375.00

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.