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Finding the Third Proportional to 432,148 and 654,186

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Solution

The third proportional to 432,148 and 654,186 is: 990,307.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,148 : 654,186 = 654,186 : x
  2. Step 2: Convert to fraction form
    432,148/654,186 = 654,186/x
  3. Step 3: Cross multiply
    432,148x = 654,186 × 654,186
  4. Step 4: Simplify right side
    432,148x = 427,959,322,596
  5. Step 5: Solve for x
    x = 427,959,322,596/432,148
  6. Step 6: Final answer
    x = 990,307.31

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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.