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Finding the Third Proportional to 478,975.50 and 798,258.38

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Solution

The third proportional to 478,975.50 and 798,258.38 is: 1,330,373.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,975.50 : 798,258.38 = 798,258.38 : x
  2. Step 2: Convert to fraction form
    478,975.50/798,258.38 = 798,258.38/x
  3. Step 3: Cross multiply
    478,975.50x = 798,258.38 × 798,258.38
  4. Step 4: Simplify right side
    478,975.50x = 637,216,433,257.64
  5. Step 5: Solve for x
    x = 637,216,433,257.64/478,975.50
  6. Step 6: Final answer
    x = 1,330,373.75

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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.