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Finding the Third Proportional to 356,118.75 and 768,421.13

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Solution

The third proportional to 356,118.75 and 768,421.13 is: 1,658,073.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,118.75 : 768,421.13 = 768,421.13 : x
  2. Step 2: Convert to fraction form
    356,118.75/768,421.13 = 768,421.13/x
  3. Step 3: Cross multiply
    356,118.75x = 768,421.13 × 768,421.13
  4. Step 4: Simplify right side
    356,118.75x = 590,471,025,346.27
  5. Step 5: Solve for x
    x = 590,471,025,346.27/356,118.75
  6. Step 6: Final answer
    x = 1,658,073.40

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.