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Finding the Third Proportional to 315,278 and 691,820

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Solution

The third proportional to 315,278 and 691,820 is: 1,518,072.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,278 : 691,820 = 691,820 : x
  2. Step 2: Convert to fraction form
    315,278/691,820 = 691,820/x
  3. Step 3: Cross multiply
    315,278x = 691,820 × 691,820
  4. Step 4: Simplify right side
    315,278x = 478,614,912,400
  5. Step 5: Solve for x
    x = 478,614,912,400/315,278
  6. Step 6: Final answer
    x = 1,518,072.66

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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.