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Finding the Third Proportional to 315,304 and 691,927

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Solution

The third proportional to 315,304 and 691,927 is: 1,518,417.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,304 : 691,927 = 691,927 : x
  2. Step 2: Convert to fraction form
    315,304/691,927 = 691,927/x
  3. Step 3: Cross multiply
    315,304x = 691,927 × 691,927
  4. Step 4: Simplify right side
    315,304x = 478,762,973,329
  5. Step 5: Solve for x
    x = 478,762,973,329/315,304
  6. Step 6: Final answer
    x = 1,518,417.06

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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.