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Finding the Third Proportional to 432,945 and 679,158.84

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Solution

The third proportional to 432,945 and 679,158.84 is: 1,065,393.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,945 : 679,158.84 = 679,158.84 : x
  2. Step 2: Convert to fraction form
    432,945/679,158.84 = 679,158.84/x
  3. Step 3: Cross multiply
    432,945x = 679,158.84 × 679,158.84
  4. Step 4: Simplify right side
    432,945x = 461,256,735,043.84
  5. Step 5: Solve for x
    x = 461,256,735,043.84/432,945
  6. Step 6: Final answer
    x = 1,065,393.38

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.