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Finding the Third Proportional to 318,416.63 and 695,881.69

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Solution

The third proportional to 318,416.63 and 695,881.69 is: 1,520,810.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,416.63 : 695,881.69 = 695,881.69 : x
  2. Step 2: Convert to fraction form
    318,416.63/695,881.69 = 695,881.69/x
  3. Step 3: Cross multiply
    318,416.63x = 695,881.69 × 695,881.69
  4. Step 4: Simplify right side
    318,416.63x = 484,251,322,997.85
  5. Step 5: Solve for x
    x = 484,251,322,997.85/318,416.63
  6. Step 6: Final answer
    x = 1,520,810.43

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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.