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Finding the Third Proportional to 432,942.47 and 679,153.78

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Solution

The third proportional to 432,942.47 and 679,153.78 is: 1,065,383.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,942.47 : 679,153.78 = 679,153.78 : x
  2. Step 2: Convert to fraction form
    432,942.47/679,153.78 = 679,153.78/x
  3. Step 3: Cross multiply
    432,942.47x = 679,153.78 × 679,153.78
  4. Step 4: Simplify right side
    432,942.47x = 461,249,858,586.17
  5. Step 5: Solve for x
    x = 461,249,858,586.17/432,942.47
  6. Step 6: Final answer
    x = 1,065,383.72

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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.