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Finding the Third Proportional to 432,138 and 654,169

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Solution

The third proportional to 432,138 and 654,169 is: 990,278.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,138 : 654,169 = 654,169 : x
  2. Step 2: Convert to fraction form
    432,138/654,169 = 654,169/x
  3. Step 3: Cross multiply
    432,138x = 654,169 × 654,169
  4. Step 4: Simplify right side
    432,138x = 427,937,080,561
  5. Step 5: Solve for x
    x = 427,937,080,561/432,138
  6. Step 6: Final answer
    x = 990,278.75

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.