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Finding the Third Proportional to 315,958 and 755,470

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Solution

The third proportional to 315,958 and 755,470 is: 1,806,363.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,958 : 755,470 = 755,470 : x
  2. Step 2: Convert to fraction form
    315,958/755,470 = 755,470/x
  3. Step 3: Cross multiply
    315,958x = 755,470 × 755,470
  4. Step 4: Simplify right side
    315,958x = 570,734,920,900
  5. Step 5: Solve for x
    x = 570,734,920,900/315,958
  6. Step 6: Final answer
    x = 1,806,363.25

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.