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Finding the Third Proportional to 315,303 and 691,926

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Solution

The third proportional to 315,303 and 691,926 is: 1,518,417.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,303 : 691,926 = 691,926 : x
  2. Step 2: Convert to fraction form
    315,303/691,926 = 691,926/x
  3. Step 3: Cross multiply
    315,303x = 691,926 × 691,926
  4. Step 4: Simplify right side
    315,303x = 478,761,589,476
  5. Step 5: Solve for x
    x = 478,761,589,476/315,303
  6. Step 6: Final answer
    x = 1,518,417.49

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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.