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Finding the Third Proportional to 315,414 and 723,897

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Solution

The third proportional to 315,414 and 723,897 is: 1,661,393.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,414 : 723,897 = 723,897 : x
  2. Step 2: Convert to fraction form
    315,414/723,897 = 723,897/x
  3. Step 3: Cross multiply
    315,414x = 723,897 × 723,897
  4. Step 4: Simplify right side
    315,414x = 524,026,866,609
  5. Step 5: Solve for x
    x = 524,026,866,609/315,414
  6. Step 6: Final answer
    x = 1,661,393.81

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.