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Finding the Third Proportional to 315,053 and 691,345

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Solution

The third proportional to 315,053 and 691,345 is: 1,517,071.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,053 : 691,345 = 691,345 : x
  2. Step 2: Convert to fraction form
    315,053/691,345 = 691,345/x
  3. Step 3: Cross multiply
    315,053x = 691,345 × 691,345
  4. Step 4: Simplify right side
    315,053x = 477,957,909,025
  5. Step 5: Solve for x
    x = 477,957,909,025/315,053
  6. Step 6: Final answer
    x = 1,517,071.44

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.