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Finding the Third Proportional to 173,307 and 368,478

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Solution

The third proportional to 173,307 and 368,478 is: 783,442.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,307 : 368,478 = 368,478 : x
  2. Step 2: Convert to fraction form
    173,307/368,478 = 368,478/x
  3. Step 3: Cross multiply
    173,307x = 368,478 × 368,478
  4. Step 4: Simplify right side
    173,307x = 135,776,036,484
  5. Step 5: Solve for x
    x = 135,776,036,484/173,307
  6. Step 6: Final answer
    x = 783,442.31

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.