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Finding the Third Proportional to 432,939 and 679,148

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Solution

The third proportional to 432,939 and 679,148 is: 1,065,374.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,939 : 679,148 = 679,148 : x
  2. Step 2: Convert to fraction form
    432,939/679,148 = 679,148/x
  3. Step 3: Cross multiply
    432,939x = 679,148 × 679,148
  4. Step 4: Simplify right side
    432,939x = 461,242,005,904
  5. Step 5: Solve for x
    x = 461,242,005,904/432,939
  6. Step 6: Final answer
    x = 1,065,374.12

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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.