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Finding the Third Proportional to 373,905 and 815,478

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Solution

The third proportional to 373,905 and 815,478 is: 1,778,538.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,905 : 815,478 = 815,478 : x
  2. Step 2: Convert to fraction form
    373,905/815,478 = 815,478/x
  3. Step 3: Cross multiply
    373,905x = 815,478 × 815,478
  4. Step 4: Simplify right side
    373,905x = 665,004,368,484
  5. Step 5: Solve for x
    x = 665,004,368,484/373,905
  6. Step 6: Final answer
    x = 1,778,538.31

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.